72415680 has 112 divisors (see below), whose sum is σ = 231611424. Its totient is φ = 19169280.

The previous prime is 72415663. The next prime is 72415727. The reversal of 72415680 is 8651427.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231204 + ... + 231516.

Almost surely, 2^72415680 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 72415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115805712).

72415680 is an abundant number, since it is smaller than the sum of its proper divisors (159195744).

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

72415680 is a wasteful number, since it uses less digits than its factorization.

72415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 72415680 is about 8509.7403015603. The cubic root of 72415680 is about 416.8158299721.

It can be divided in two parts, 7241 and 5680, that added together give a palindrome (12921).

The spelling of 72415680 in words is "seventy-two million, four hundred fifteen thousand, six hundred eighty".