72404600 has 48 divisors (see below), whose sum is σ = 169449720. Its totient is φ = 28771200.

The previous prime is 72404569. The next prime is 72404627. The reversal of 72404600 is 640427.

It is a super-2 number, since 2×72404600² = 10484852202320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31490 + ... + 33710.

Almost surely, 2^72404600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72404600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84724860).

72404600 is an abundant number, since it is smaller than the sum of its proper divisors (97045120).

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

72404600 is a wasteful number, since it uses less digits than its factorization.

72404600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 72404600 is about 8509.0892579641. The cubic root of 72404600 is about 416.7945705112.

The spelling of 72404600 in words is "seventy-two million, four hundred four thousand, six hundred".