72415760 has 20 divisors (see below), whose sum is σ = 168366828. Its totient is φ = 28966272.

The previous prime is 72415751. The next prime is 72415769. The reversal of 72415760 is 6751427.

It is an interprime number because it is at equal distance from previous prime (72415751) and next prime (72415769).

It can be written as a sum of positive squares in 2 ways, for example, as 8479744 + 63936016 = 2912^2 + 7996^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (72415769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 452519 + ... + 452678.

Almost surely, 2^72415760 is an apocalyptic number.

It is an amenable number.

72415760 is an abundant number, since it is smaller than the sum of its proper divisors (95951068).

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

72415760 is a wasteful number, since it uses less digits than its factorization.

72415760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905210 (or 905204 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 72415760 is about 8509.7450020550. The cubic root of 72415760 is about 416.8159834622.

The spelling of 72415760 in words is "seventy-two million, four hundred fifteen thousand, seven hundred sixty".