72904860 has 144 divisors (see below), whose sum is σ = 262219776. Its totient is φ = 16656192.

The previous prime is 72904841. The next prime is 72904873. The reversal of 72904860 is 6840927.

It is a super-2 number, since 2×72904860² = 10630237223239200, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 32949 + ... + 35091.

Almost surely, 2^72904860 is an apocalyptic number.

72904860 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 72904860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131109888).

72904860 is an abundant number, since it is smaller than the sum of its proper divisors (189314916).

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

72904860 is a wasteful number, since it uses less digits than its factorization.

72904860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72904860 is about 8538.4342827008. The cubic root of 72904860 is about 417.7522779965.

The spelling of 72904860 in words is "seventy-two million, nine hundred four thousand, eight hundred sixty".