72960390 has 24 divisors (see below), whose sum is σ = 189697248. Its totient is φ = 19456080.

The previous prime is 72960389. The next prime is 72960431. The reversal of 72960390 is 9306927.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 405246 + ... + 405425.

It is an arithmetic number, because the mean of its divisors is an integer number (7904052).

Almost surely, 2^72960390 is an apocalyptic number.

72960390 is an abundant number, since it is smaller than the sum of its proper divisors (116736858).

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

72960390 is a wasteful number, since it uses less digits than its factorization.

72960390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810684 (or 810681 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 72960390 is about 8541.6854308737. The cubic root of 72960390 is about 417.8583152655.

The spelling of 72960390 in words is "seventy-two million, nine hundred sixty thousand, three hundred ninety".