72407216 has 60 divisors (see below), whose sum is σ = 170392368. Its totient is φ = 29193216.

The previous prime is 72407207. The next prime is 72407239. The reversal of 72407216 is 61270427.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31250 + ... + 33486.

Almost surely, 2^72407216 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 72407216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85196184).

72407216 is an abundant number, since it is smaller than the sum of its proper divisors (97985152).

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

72407216 is a wasteful number, since it uses less digits than its factorization.

72407216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 72407216 is about 8509.2429745542. The cubic root of 72407216 is about 416.7995900885.

The spelling of 72407216 in words is "seventy-two million, four hundred seven thousand, two hundred sixteen".