72513960 has 128 divisors (see below), whose sum is σ = 227957760. Its totient is φ = 18432000.

The previous prime is 72513941. The next prime is 72513967. The reversal of 72513960 is 6931527.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72513967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375624 + ... + 375816.

It is an arithmetic number, because the mean of its divisors is an integer number (1780920).

Almost surely, 2^72513960 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 72513960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113978880).

72513960 is an abundant number, since it is smaller than the sum of its proper divisors (155443800).

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

72513960 is a wasteful number, since it uses less digits than its factorization.

72513960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 72513960 is about 8515.5129029319. The cubic root of 72513960 is about 417.0043073010.

It can be divided in two parts, 7251 and 3960, that added together give a palindrome (11211).

The spelling of 72513960 in words is "seventy-two million, five hundred thirteen thousand, nine hundred sixty".