72112480 has 48 divisors (see below), whose sum is σ = 185858064. Its totient is φ = 26222080.

The previous prime is 72112471. The next prime is 72112501. The reversal of 72112480 is 8421127.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18727 + ... + 22246.

It is an arithmetic number, because the mean of its divisors is an integer number (3872043).

Almost surely, 2^72112480 is an apocalyptic number.

It is an amenable number.

72112480 is an abundant number, since it is smaller than the sum of its proper divisors (113745584).

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

72112480 is a wasteful number, since it uses less digits than its factorization.

72112480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40999 (or 40991 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 72112480 is about 8491.9067352391. The cubic root of 72112480 is about 416.2332887747.

The spelling of 72112480 in words is "seventy-two million, one hundred twelve thousand, four hundred eighty".