72134057 has 2 divisors, whose sum is σ = 72134058. Its totient is φ = 72134056.

The previous prime is 72134021. The next prime is 72134081. The reversal of 72134057 is 75043127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60155536 + 11978521 = 7756^2 + 3461^2 .

It is a cyclic number.

It is not a de Polignac number, because 72134057 - 2¹⁸ = 71871913 is a prime.

It is not a weakly prime, because it can be changed into another prime (72134357) 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 as a sum of consecutive naturals, namely, 36067028 + 36067029.

It is an arithmetic number, because the mean of its divisors is an integer number (36067029).

Almost surely, 2^72134057 is an apocalyptic number.

It is an amenable number.

72134057 is a deficient number, since it is larger than the sum of its proper divisors (1).

72134057 is an equidigital number, since it uses as much as digits as its factorization.

72134057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 72134057 is about 8493.1770851667. The cubic root of 72134057 is about 416.2747987883.

The spelling of 72134057 in words is "seventy-two million, one hundred thirty-four thousand, fifty-seven".