72427908 has 48 divisors (see below), whose sum is σ = 195076224. Its totient is φ = 20486400.

The previous prime is 72427879. The next prime is 72427913. The reversal of 72427908 is 80972427.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4216 + ... + 12752.

It is an arithmetic number, because the mean of its divisors is an integer number (4064088).

Almost surely, 2^72427908 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 72427908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97538112).

72427908 is an abundant number, since it is smaller than the sum of its proper divisors (122648316).

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

72427908 is a wasteful number, since it uses less digits than its factorization.

72427908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8652 (or 8650 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 72427908 is about 8510.4587420421. The cubic root of 72427908 is about 416.8392896111.

The spelling of 72427908 in words is "seventy-two million, four hundred twenty-seven thousand, nine hundred eight".