72442860 has 96 divisors (see below), whose sum is σ = 233694720. Its totient is φ = 16424448.

The previous prime is 72442823. The next prime is 72442861. The reversal of 72442860 is 6824427.

It is not an unprimeable number, because it can be changed into a prime (72442861) by changing a digit.

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, 56911 + ... + 58169.

It is an arithmetic number, because the mean of its divisors is an integer number (2434320).

Almost surely, 2^72442860 is an apocalyptic number.

72442860 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 72442860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116847360).

72442860 is an abundant number, since it is smaller than the sum of its proper divisors (161251860).

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

72442860 is a wasteful number, since it uses less digits than its factorization.

72442860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 72442860 is about 8511.3371452434. The cubic root of 72442860 is about 416.8679717052.

The spelling of 72442860 in words is "seventy-two million, four hundred forty-two thousand, eight hundred sixty".