57072961 has 16 divisors (see below), whose sum is σ = 66251520. Its totient is φ = 48590080.

The previous prime is 57072949. The next prime is 57072973. The reversal of 57072961 is 16927075.

It is an interprime number because it is at equal distance from previous prime (57072949) and next prime (57072973).

It is not a de Polignac number, because 57072961 - 2⁵ = 57072929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57072961.

It is not an unprimeable number, because it can be changed into a prime (57072931) 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, 44055 + ... + 45331.

It is an arithmetic number, because the mean of its divisors is an integer number (4140720).

Almost surely, 2^57072961 is an apocalyptic number.

It is an amenable number.

57072961 is a deficient number, since it is larger than the sum of its proper divisors (9178559).

57072961 is a wasteful number, since it uses less digits than its factorization.

57072961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544.

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 57072961 is about 7554.6648502763. The cubic root of 57072961 is about 385.0142480812.

It can be divided in two parts, 5707 and 2961, that added together give a palindrome (8668).

The spelling of 57072961 in words is "fifty-seven million, seventy-two thousand, nine hundred sixty-one".