72487080 has 96 divisors (see below), whose sum is σ = 236770560. Its totient is φ = 19232640.

The previous prime is 72487073. The next prime is 72487081. The reversal of 72487080 is 8078427.

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

It is not an unprimeable number, because it can be changed into a prime (72487081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97189 + ... + 97931.

It is an arithmetic number, because the mean of its divisors is an integer number (2466360).

Almost surely, 2^72487080 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 72487080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280).

72487080 is an abundant number, since it is smaller than the sum of its proper divisors (164283480).

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

72487080 is a wasteful number, since it uses less digits than its factorization.

72487080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 72487080 is about 8513.9344606357. The cubic root of 72487080 is about 416.9527748738.

The spelling of 72487080 in words is "seventy-two million, four hundred eighty-seven thousand, eighty".