57072640 has 88 divisors (see below), whose sum is σ = 139720032. Its totient is φ = 22364160.

The previous prime is 57072629. The next prime is 57072649. The reversal of 57072640 is 4627075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57072649) by changing a digit.

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, 363442 + ... + 363598.

Almost surely, 2^57072640 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 57072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69860016).

57072640 is an abundant number, since it is smaller than the sum of its proper divisors (82647392).

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

57072640 is a wasteful number, since it uses less digits than its factorization.

57072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 57072640 is about 7554.6436050948. The cubic root of 57072640 is about 385.0135262578.

The spelling of 57072640 in words is "fifty-seven million, seventy-two thousand, six hundred forty".