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72377340 = 22357389443
BaseRepresentation
bin1000101000001…
…10001111111100
312001012011001020
410110012033330
5122012033330
611103144140
71536124440
oct424061774
9161164036
1072377340
1137945192
12202a5050
1311cc1939
149880820
15654a210
hex45063fc

72377340 has 96 divisors (see below), whose sum is σ = 232727040. Its totient is φ = 16463616.

The previous prime is 72377323. The next prime is 72377363. The reversal of 72377340 is 4377327.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163159 + ... + 163601.

It is an arithmetic number, because the mean of its divisors is an integer number (2424240).

Almost surely, 272377340 is an apocalyptic number.

72377340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72377340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116363520).

72377340 is an abundant number, since it is smaller than the sum of its proper divisors (160349700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72377340 is a wasteful number, since it uses less digits than its factorization.

72377340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 33.

The square root of 72377340 is about 8507.4872906164. The cubic root of 72377340 is about 416.7422568636.

The spelling of 72377340 in words is "seventy-two million, three hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 389 420 443 778 886 1167 1329 1556 1772 1945 2215 2334 2658 2723 3101 3890 4430 4668 5316 5446 5835 6202 6645 7780 8169 8860 9303 10892 11670 12404 13290 13615 15505 16338 18606 23340 26580 27230 31010 32676 37212 40845 46515 54460 62020 81690 93030 163380 172327 186060 344654 516981 689308 861635 1033962 1206289 1723270 2067924 2412578 2584905 3446540 3618867 4825156 5169810 6031445 7237734 10339620 12062890 14475468 18094335 24125780 36188670 72377340