57727072 has 48 divisors (see below), whose sum is σ = 123197760. Its totient is φ = 26468352.

The previous prime is 57727063. The next prime is 57727093. The reversal of 57727072 is 27072775.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79929 + ... + 80647.

It is an arithmetic number, because the mean of its divisors is an integer number (2566620).

Almost surely, 2^57727072 is an apocalyptic number.

57727072 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 57727072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61598880).

57727072 is an abundant number, since it is smaller than the sum of its proper divisors (65470688).

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

57727072 is a wasteful number, since it uses less digits than its factorization.

57727072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 48020, while the sum is 37.

The square root of 57727072 is about 7597.8333753775. The cubic root of 57727072 is about 386.4795421695.

The spelling of 57727072 in words is "fifty-seven million, seven hundred twenty-seven thousand, seventy-two".