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72748350 = 23252413943
BaseRepresentation
bin1000101011000…
…00110100111110
312001212222222100
410111200310332
5122110421400
611115125530
71542231213
oct425406476
9161788870
1072748350
1138078a04
12204438a6
13120c177c
149939b0a
1565c0100
hex4560d3e

72748350 has 72 divisors (see below), whose sum is σ = 200268432. Its totient is φ = 18921600.

The previous prime is 72748349. The next prime is 72748393. The reversal of 72748350 is 5384727.

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 35 ways as a sum of consecutive naturals, for example, 16479 + ... + 20421.

It is an arithmetic number, because the mean of its divisors is an integer number (2781506).

Almost surely, 272748350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72748350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100134216).

72748350 is an abundant number, since it is smaller than the sum of its proper divisors (127520082).

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

72748350 is a wasteful number, since it uses less digits than its factorization.

72748350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 72748350 is about 8529.2643293546. The cubic root of 72748350 is about 417.4531244060.

The spelling of 72748350 in words is "seventy-two million, seven hundred forty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 2050 3075 3690 3943 6150 7886 9225 11829 18450 19715 23658 35487 39430 59145 70974 98575 118290 161663 177435 197150 295725 323326 354870 484989 591450 808315 887175 969978 1454967 1616630 1774350 2424945 2909934 4041575 4849890 7274835 8083150 12124725 14549670 24249450 36374175 72748350