72932160 has 112 divisors (see below), whose sum is σ = 264663936. Its totient is φ = 16668672.

The previous prime is 72932147. The next prime is 72932177. The reversal of 72932160 is 6123927.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1294 + ... + 12146.

Almost surely, 2^72932160 is an apocalyptic number.

72932160 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 72932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132331968).

72932160 is an abundant number, since it is smaller than the sum of its proper divisors (191731776).

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

72932160 is a wasteful number, since it uses less digits than its factorization.

72932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10880 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 72932160 is about 8540.0327868223. The cubic root of 72932160 is about 417.8044154167.

It can be divided in two parts, 7293 and 2160, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 72932160 in words is "seventy-two million, nine hundred thirty-two thousand, one hundred sixty".