72405920 has 24 divisors (see below), whose sum is σ = 171059364. Its totient is φ = 28962304.

The previous prime is 72405917. The next prime is 72405943. The reversal of 72405920 is 2950427.

It can be written as a sum of positive squares in 2 ways, for example, as 71707024 + 698896 = 8468^2 + 836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 226109 + ... + 226428.

Almost surely, 2^72405920 is an apocalyptic number.

It is an amenable number.

72405920 is an abundant number, since it is smaller than the sum of its proper divisors (98653444).

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

72405920 is a wasteful number, since it uses less digits than its factorization.

72405920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452552 (or 452544 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 72405920 is about 8509.1668217282. The cubic root of 72405920 is about 416.7971033406.

The spelling of 72405920 in words is "seventy-two million, four hundred five thousand, nine hundred twenty".