57082272 has 96 divisors (see below), whose sum is σ = 164602368. Its totient is φ = 17212416.

The previous prime is 57082261. The next prime is 57082279. The reversal of 57082272 is 27228075.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57082279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65713 + ... + 66575.

It is an arithmetic number, because the mean of its divisors is an integer number (1714608).

Almost surely, 2^57082272 is an apocalyptic number.

57082272 is a gapful number since it is divisible by the number (52) 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 57082272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82301184).

57082272 is an abundant number, since it is smaller than the sum of its proper divisors (107520096).

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

57082272 is a wasteful number, since it uses less digits than its factorization.

57082272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 57082272 is about 7555.2810669094. The cubic root of 57082272 is about 385.0351842810.

The spelling of 57082272 in words is "fifty-seven million, eighty-two thousand, two hundred seventy-two".