72572360 has 128 divisors (see below), whose sum is σ = 199065600. Its totient is φ = 23274240.

The previous prime is 72572359. The next prime is 72572377. The reversal of 72572360 is 6327527.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379865 + ... + 380055.

It is an arithmetic number, because the mean of its divisors is an integer number (1555200).

Almost surely, 2^72572360 is an apocalyptic number.

72572360 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 72572360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99532800).

72572360 is an abundant number, since it is smaller than the sum of its proper divisors (126493240).

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

72572360 is a wasteful number, since it uses less digits than its factorization.

72572360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 72572360 is about 8518.9412487703. The cubic root of 72572360 is about 417.1162237595.

Adding to 72572360 its reverse (6327527), we get a palindrome (78899887).

The spelling of 72572360 in words is "seventy-two million, five hundred seventy-two thousand, three hundred sixty".