72116520 has 64 divisors (see below), whose sum is σ = 247259520. Its totient is φ = 16483584.

The previous prime is 72116519. The next prime is 72116531. The reversal of 72116520 is 2561127.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 42087 + ... + 43766.

It is an arithmetic number, because the mean of its divisors is an integer number (3863430).

Almost surely, 2^72116520 is an apocalyptic number.

72116520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72116520 is an abundant number, since it is smaller than the sum of its proper divisors (175143000).

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

72116520 is a wasteful number, since it uses less digits than its factorization.

72116520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85874 (or 85870 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 72116520 is about 8492.1446054574. The cubic root of 72116520 is about 416.2410615906.

Adding to 72116520 its reverse (2561127), we get a palindrome (74677647).

It can be divided in two parts, 7211 and 6520, that added together give a palindrome (13731).

The spelling of 72116520 in words is "seventy-two million, one hundred sixteen thousand, five hundred twenty".