57141072 has 80 divisors (see below), whose sum is σ = 164920000. Its totient is φ = 18942336.

The previous prime is 57141043. The next prime is 57141083. The reversal of 57141072 is 27014175.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 150579 + ... + 150957.

It is an arithmetic number, because the mean of its divisors is an integer number (2061500).

Almost surely, 2^57141072 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 57141072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82460000).

57141072 is an abundant number, since it is smaller than the sum of its proper divisors (107778928).

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

57141072 is a wasteful number, since it uses less digits than its factorization.

57141072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 57141072 is about 7559.1713831610. The cubic root of 57141072 is about 385.1673461513.

It can be divided in two parts, 5714 and 1072, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 57141072 in words is "fifty-seven million, one hundred forty-one thousand, seventy-two".