72207264 has 48 divisors (see below), whose sum is σ = 191963520. Its totient is φ = 23761920.

The previous prime is 72207257. The next prime is 72207287. The reversal of 72207264 is 46270227.

It is a tau number, because it is divible by the number of its divisors (48).

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, 2824 + ... + 12344.

It is an arithmetic number, because the mean of its divisors is an integer number (3999240).

Almost surely, 2^72207264 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 72207264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95981760).

72207264 is an abundant number, since it is smaller than the sum of its proper divisors (119756256).

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

72207264 is a wasteful number, since it uses less digits than its factorization.

72207264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9613 (or 9605 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 72207264 is about 8497.4857457956. The cubic root of 72207264 is about 416.4155733734.

The spelling of 72207264 in words is "seventy-two million, two hundred seven thousand, two hundred sixty-four".