72600416 has 48 divisors (see below), whose sum is σ = 165019680. Its totient is φ = 30796800.

The previous prime is 72600389. The next prime is 72600433. The reversal of 72600416 is 61400627.

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, 21020 + ... + 24228.

It is an arithmetic number, because the mean of its divisors is an integer number (3437910).

Almost surely, 2^72600416 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 72600416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82509840).

72600416 is an abundant number, since it is smaller than the sum of its proper divisors (92419264).

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

72600416 is a wasteful number, since it uses less digits than its factorization.

72600416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 72600416 is about 8520.5877731527. The cubic root of 72600416 is about 417.1699683029.

The spelling of 72600416 in words is "seventy-two million, six hundred thousand, four hundred sixteen".