57405972 has 48 divisors (see below), whose sum is σ = 145265792. Its totient is φ = 17539200.

The previous prime is 57405947. The next prime is 57405983. The reversal of 57405972 is 27950475.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 57405972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22338 + ... + 24774.

Almost surely, 2^57405972 is an apocalyptic number.

57405972 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 57405972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72632896).

57405972 is an abundant number, since it is smaller than the sum of its proper divisors (87859820).

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

57405972 is a wasteful number, since it uses less digits than its factorization.

57405972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 57405972 is about 7576.6728845846. The cubic root of 57405972 is about 385.7616271894.

The spelling of 57405972 in words is "fifty-seven million, four hundred five thousand, nine hundred seventy-two".