72407680 has 64 divisors (see below), whose sum is σ = 180662400. Its totient is φ = 27698176.

The previous prime is 72407669. The next prime is 72407701. The reversal of 72407680 is 8670427.

It is a tau number, because it is divible by the number of its divisors (64).

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, 12261 + ... + 17179.

It is an arithmetic number, because the mean of its divisors is an integer number (2822850).

Almost surely, 2^72407680 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 72407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90331200).

72407680 is an abundant number, since it is smaller than the sum of its proper divisors (108254720).

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

72407680 is a wasteful number, since it uses less digits than its factorization.

72407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 72407680 is about 8509.2702389805. The cubic root of 72407680 is about 416.8004803985.

The spelling of 72407680 in words is "seventy-two million, four hundred seven thousand, six hundred eighty".