57723360 has 96 divisors (see below), whose sum is σ = 185340960. Its totient is φ = 15095808.

The previous prime is 57723359. The next prime is 57723361. The reversal of 57723360 is 6332775.

It is an interprime number because it is at equal distance from previous prime (57723359) and next prime (57723361).

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 (57723361) 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, 24306 + ... + 26574.

It is an arithmetic number, because the mean of its divisors is an integer number (1930635).

Almost surely, 2^57723360 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 57723360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92670480).

57723360 is an abundant number, since it is smaller than the sum of its proper divisors (127617600).

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

57723360 is a wasteful number, since it uses less digits than its factorization.

57723360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 57723360 is about 7597.5890912842. The cubic root of 57723360 is about 386.4712581139.

The spelling of 57723360 in words is "fifty-seven million, seven hundred twenty-three thousand, three hundred sixty".