72577056 has 24 divisors (see below), whose sum is σ = 190515024. Its totient is φ = 24192320.

The previous prime is 72577051. The next prime is 72577073. The reversal of 72577056 is 65077527.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (72577051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 377910 + ... + 378101.

It is an arithmetic number, because the mean of its divisors is an integer number (7938126).

Almost surely, 2^72577056 is an apocalyptic number.

It is an amenable number.

72577056 is an abundant number, since it is smaller than the sum of its proper divisors (117937968).

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

72577056 is a wasteful number, since it uses less digits than its factorization.

72577056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756024 (or 756016 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 39.

The square root of 72577056 is about 8519.2168654167. The cubic root of 72577056 is about 417.1252204609.

The spelling of 72577056 in words is "seventy-two million, five hundred seventy-seven thousand, fifty-six".