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72596340 = 223251921227
BaseRepresentation
bin1000101001110…
…11101101110100
312001121021110100
410110323231310
5122041040330
611111554100
71541026065
oct424735564
9161537410
1072596340
1137a84783
122038b930
131206a51b
1498da56c
156590060
hex453bb74

72596340 has 72 divisors (see below), whose sum is σ = 231809760. Its totient is φ = 18339264.

The previous prime is 72596323. The next prime is 72596351. The reversal of 72596340 is 4369527.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72596295 and 72596304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7194 + ... + 14033.

It is an arithmetic number, because the mean of its divisors is an integer number (3219580).

Almost surely, 272596340 is an apocalyptic number.

It is an amenable number.

72596340 is an abundant number, since it is smaller than the sum of its proper divisors (159213420).

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

72596340 is a wasteful number, since it uses less digits than its factorization.

72596340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21261 (or 21256 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72596340 is about 8520.3485844184. The cubic root of 72596340 is about 417.1621611088.

The spelling of 72596340 in words is "seventy-two million, five hundred ninety-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 21227 42454 63681 84908 106135 127362 191043 212270 254724 318405 382086 403313 424540 636810 764172 806626 955215 1209939 1273620 1613252 1910430 2016565 2419878 3629817 3820860 4033130 4839756 6049695 7259634 8066260 12099390 14519268 18149085 24198780 36298170 72596340