72557520 has 80 divisors (see below), whose sum is σ = 257066880. Its totient is φ = 16584192.

The previous prime is 72557509. The next prime is 72557533. The reversal of 72557520 is 2575527.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19915 + ... + 23274.

It is an arithmetic number, because the mean of its divisors is an integer number (3213336).

Almost surely, 2^72557520 is an apocalyptic number.

72557520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72557520 is an abundant number, since it is smaller than the sum of its proper divisors (184509360).

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

72557520 is a wasteful number, since it uses less digits than its factorization.

72557520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43212 (or 43206 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 33.

The square root of 72557520 is about 8518.0702039840. The cubic root of 72557520 is about 417.0877904059.

The spelling of 72557520 in words is "seventy-two million, five hundred fifty-seven thousand, five hundred twenty".