72400475 has 24 divisors (see below), whose sum is σ = 104064768. Its totient is φ = 48938400.

The previous prime is 72400457. The next prime is 72400477. The reversal of 72400475 is 57400427.

It is not a de Polignac number, because 72400475 - 2¹⁸ = 72138331 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72400477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9512 + ... + 15338.

It is an arithmetic number, because the mean of its divisors is an integer number (4336032).

Almost surely, 2^72400475 is an apocalyptic number.

72400475 is a deficient number, since it is larger than the sum of its proper divisors (31664293).

72400475 is a wasteful number, since it uses less digits than its factorization.

72400475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 72400475 is about 8508.8468666442. The cubic root of 72400475 is about 416.7866552211.

The spelling of 72400475 in words is "seventy-two million, four hundred thousand, four hundred seventy-five".