72435790 has 64 divisors (see below), whose sum is σ = 158630400. Its totient is φ = 23262336.

The previous prime is 72435787. The next prime is 72435821. The reversal of 72435790 is 9753427.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142056 + ... + 142564.

It is an arithmetic number, because the mean of its divisors is an integer number (2478600).

Almost surely, 2^72435790 is an apocalyptic number.

72435790 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72435790 is an abundant number, since it is smaller than the sum of its proper divisors (86194610).

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

72435790 is a wasteful number, since it uses less digits than its factorization.

72435790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649.

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 72435790 is about 8510.9218067140. The cubic root of 72435790 is about 416.8544099710.

The spelling of 72435790 in words is "seventy-two million, four hundred thirty-five thousand, seven hundred ninety".