72512053 has 2 divisors, whose sum is σ = 72512054. Its totient is φ = 72512052.

The previous prime is 72511997. The next prime is 72512057. The reversal of 72512053 is 35021527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56655729 + 15856324 = 7527^2 + 3982^2 .

It is a cyclic number.

It is not a de Polignac number, because 72512053 - 2²⁵ = 38957621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72512057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36256026 + 36256027.

It is an arithmetic number, because the mean of its divisors is an integer number (36256027).

Almost surely, 2^72512053 is an apocalyptic number.

It is an amenable number.

72512053 is a deficient number, since it is larger than the sum of its proper divisors (1).

72512053 is an equidigital number, since it uses as much as digits as its factorization.

72512053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 72512053 is about 8515.4009300796. The cubic root of 72512053 is about 417.0006517558. Note that the first 3 decimals are identical.

The spelling of 72512053 in words is "seventy-two million, five hundred twelve thousand, fifty-three".