72264960 has 360 divisors, whose sum is σ = 280465416. Its totient is φ = 17694720.

The previous prime is 72264947. The next prime is 72264979. The reversal of 72264960 is 6946227.

It is a happy number.

72264960 is a `hidden beast` number, since 7 + 2 + 2 + 649 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 69755904 = 1584^2 + 8352^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762540 + ... + 1762580.

Almost surely, 2^72264960 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 72264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140232708).

72264960 is an abundant number, since it is smaller than the sum of its proper divisors (208200456).

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

72264960 is a wasteful number, since it uses less digits than its factorization.

72264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 72264960 is about 8500.8799544518. The cubic root of 72264960 is about 416.5264537999.

The spelling of 72264960 in words is "seventy-two million, two hundred sixty-four thousand, nine hundred sixty".