57003672 has 64 divisors (see below), whose sum is σ = 156245760. Its totient is φ = 17187200.

The previous prime is 57003649. The next prime is 57003679. The reversal of 57003672 is 27630075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57003679) 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, 69022 + ... + 69842.

It is an arithmetic number, because the mean of its divisors is an integer number (2441340).

Almost surely, 2^57003672 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 57003672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78122880).

57003672 is an abundant number, since it is smaller than the sum of its proper divisors (99242088).

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

57003672 is a wasteful number, since it uses less digits than its factorization.

57003672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 57003672 is about 7550.0776154951. The cubic root of 57003672 is about 384.8583771000.

It can be divided in two parts, 57003 and 672, that added together give a palindrome (57675).

The spelling of 57003672 in words is "fifty-seven million, three thousand, six hundred seventy-two".