72814560 has 192 divisors, whose sum is σ = 282465792. Its totient is φ = 15353856.

The previous prime is 72814543. The next prime is 72814571. The reversal of 72814560 is 6541827.

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 31 ways as a sum of consecutive naturals, for example, 42847 + ... + 44513.

It is an arithmetic number, because the mean of its divisors is an integer number (1471176).

Almost surely, 2^72814560 is an apocalyptic number.

72814560 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 72814560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141232896).

72814560 is an abundant number, since it is smaller than the sum of its proper divisors (209651232).

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

72814560 is a wasteful number, since it uses less digits than its factorization.

72814560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 72814560 is about 8533.1447895837. The cubic root of 72814560 is about 417.5797306702.

The spelling of 72814560 in words is "seventy-two million, eight hundred fourteen thousand, five hundred sixty".