72868320 has 144 divisors (see below), whose sum is σ = 284225760. Its totient is φ = 16653312.

The previous prime is 72868319. The next prime is 72868333. The reversal of 72868320 is 2386827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 6466 + ... + 13694.

It is an arithmetic number, because the mean of its divisors is an integer number (1973790).

Almost surely, 2^72868320 is an apocalyptic number.

72868320 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 72868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142112880).

72868320 is an abundant number, since it is smaller than the sum of its proper divisors (211357440).

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

72868320 is a wasteful number, since it uses less digits than its factorization.

72868320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7257 (or 7246 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72868320 is about 8536.2942779639. The cubic root of 72868320 is about 417.6824736919.

The spelling of 72868320 in words is "seventy-two million, eight hundred sixty-eight thousand, three hundred twenty".