72571753 has 2 divisors, whose sum is σ = 72571754. Its totient is φ = 72571752.

The previous prime is 72571721. The next prime is 72571771. The reversal of 72571753 is 35717527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53978409 + 18593344 = 7347^2 + 4312^2 .

It is a cyclic number.

It is not a de Polignac number, because 72571753 - 2⁵ = 72571721 is a prime.

It is not a weakly prime, because it can be changed into another prime (72571153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36285876 + 36285877.

It is an arithmetic number, because the mean of its divisors is an integer number (36285877).

Almost surely, 2^72571753 is an apocalyptic number.

It is an amenable number.

72571753 is a deficient number, since it is larger than the sum of its proper divisors (1).

72571753 is an equidigital number, since it uses as much as digits as its factorization.

72571753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 51450, while the sum is 37.

The square root of 72571753 is about 8518.9056222029. The cubic root of 72571753 is about 417.1150608271.

The spelling of 72571753 in words is "seventy-two million, five hundred seventy-one thousand, seven hundred fifty-three".