72332610 has 128 divisors (see below), whose sum is σ = 210567168. Its totient is φ = 15552000.

The previous prime is 72332593. The next prime is 72332621. The reversal of 72332610 is 1623327.

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 63 ways as a sum of consecutive naturals, for example, 266775 + ... + 267045.

It is an arithmetic number, because the mean of its divisors is an integer number (1645056).

Almost surely, 2^72332610 is an apocalyptic number.

72332610 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72332610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105283584).

72332610 is an abundant number, since it is smaller than the sum of its proper divisors (138234558).

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

72332610 is a wasteful number, since it uses less digits than its factorization.

72332610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 72332610 is about 8504.8580235063. The cubic root of 72332610 is about 416.6563887243.

Adding to 72332610 its reverse (1623327), we get a palindrome (73955937).

It can be divided in two parts, 723 and 32610, that added together give a palindrome (33333).

The spelling of 72332610 in words is "seventy-two million, three hundred thirty-two thousand, six hundred ten".