72002560 has 176 divisors, whose sum is σ = 206337600. Its totient is φ = 24084480.

The previous prime is 72002507. The next prime is 72002573. The reversal of 72002560 is 6520027.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1756140 + ... + 1756180.

Almost surely, 2^72002560 is an apocalyptic number.

72002560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103168800).

72002560 is an abundant number, since it is smaller than the sum of its proper divisors (134335040).

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

72002560 is an equidigital number, since it uses as much as digits as its factorization.

72002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 72002560 is about 8485.4322223444. The cubic root of 72002560 is about 416.0216951210.

Adding to 72002560 its reverse (6520027), we get a palindrome (78522587).

The spelling of 72002560 in words is "seventy-two million, two thousand, five hundred sixty".