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72374496 = 2531939679
BaseRepresentation
bin1000101000001…
…01100011100000
312001012000010220
410110011203200
5122011440441
611103123040
71536113235
oct424054340
9161160126
1072374496
1137943037
12202a3480
1311cc055c
14987d78c
156549466
hex45058e0

72374496 has 48 divisors (see below), whose sum is σ = 199987200. Its totient is φ = 22854528.

The previous prime is 72374473. The next prime is 72374503. The reversal of 72374496 is 69447327.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18016 + ... + 21663.

It is an arithmetic number, because the mean of its divisors is an integer number (4166400).

Almost surely, 272374496 is an apocalyptic number.

72374496 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

72374496 is an abundant number, since it is smaller than the sum of its proper divisors (127612704).

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

72374496 is a wasteful number, since it uses less digits than its factorization.

72374496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39711 (or 39703 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 72374496 is about 8507.3201420894. The cubic root of 72374496 is about 416.7367982928.

The spelling of 72374496 in words is "seventy-two million, three hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 39679 79358 119037 158716 238074 317432 476148 634864 753901 952296 1269728 1507802 1904592 2261703 3015604 3809184 4523406 6031208 9046812 12062416 18093624 24124832 36187248 72374496