57646272 has 56 divisors (see below), whose sum is σ = 153930096. Its totient is φ = 19038208.

The previous prime is 57646271. The next prime is 57646301. The reversal of 57646272 is 27264675.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 57646272.

It is not an unprimeable number, because it can be changed into a prime (57646271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20368 + ... + 23024.

Almost surely, 2^57646272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76965048).

57646272 is an abundant number, since it is smaller than the sum of its proper divisors (96283824).

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

57646272 is a wasteful number, since it uses less digits than its factorization.

57646272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2775 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 57646272 is about 7592.5142080868. The cubic root of 57646272 is about 386.2991408032.

The spelling of 57646272 in words is "fifty-seven million, six hundred forty-six thousand, two hundred seventy-two".