272151957 has 32 divisors (see below), whose sum is σ = 458634240. Its totient is φ = 139432320.

The previous prime is 272151947. The next prime is 272151967. The reversal of 272151957 is 759151272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (272151947) and next prime (272151967).

It is not a de Polignac number, because 272151957 - 2⁷ = 272151829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272151907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8794 + ... + 24932.

It is an arithmetic number, because the mean of its divisors is an integer number (14332320).

Almost surely, 2^272151957 is an apocalyptic number.

It is an amenable number.

272151957 is a deficient number, since it is larger than the sum of its proper divisors (186482283).

272151957 is a wasteful number, since it uses less digits than its factorization.

272151957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16233.

The product of its digits is 44100, while the sum is 39.

The square root of 272151957 is about 16497.0287324718. The cubic root of 272151957 is about 648.0429950705.

The spelling of 272151957 in words is "two hundred seventy-two million, one hundred fifty-one thousand, nine hundred fifty-seven".