57372480 has 168 divisors, whose sum is σ = 215396064. Its totient is φ = 13900800.

The previous prime is 57372461. The next prime is 57372481. The reversal of 57372480 is 8427375.

57372480 is a `hidden beast` number, since 573 + 7 + 2 + 4 + 80 = 666.

It is a super-2 number, since 2×57372480² = 6583202922700800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57372481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30775 + ... + 32585.

Almost surely, 2^57372480 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 57372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107698032).

57372480 is an abundant number, since it is smaller than the sum of its proper divisors (158023584).

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

57372480 is a wasteful number, since it uses less digits than its factorization.

57372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 57372480 is about 7574.4623571578. The cubic root of 57372480 is about 385.6865917800.

The spelling of 57372480 in words is "fifty-seven million, three hundred seventy-two thousand, four hundred eighty".