57087732 has 48 divisors (see below), whose sum is σ = 145212480. Its totient is φ = 17349888.

The previous prime is 57087697. The next prime is 57087733. The reversal of 57087732 is 23778075.

It is a Smith number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57087733) 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, 10744 + ... + 15152.

It is an arithmetic number, because the mean of its divisors is an integer number (3025260).

Almost surely, 2^57087732 is an apocalyptic number.

57087732 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 57087732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72606240).

57087732 is an abundant number, since it is smaller than the sum of its proper divisors (88124748).

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

57087732 is a wasteful number, since it uses less digits than its factorization.

57087732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 57087732 is about 7555.6423949258. The cubic root of 57087732 is about 385.0474602761.

The spelling of 57087732 in words is "fifty-seven million, eighty-seven thousand, seven hundred thirty-two".