72568953 has 10 divisors (see below), whose sum is σ = 108405594. Its totient is φ = 48379248.

The previous prime is 72568931. The next prime is 72568957. The reversal of 72568953 is 35986527.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 52881984 + 19686969 = 7272^2 + 4437^2 .

It is not a de Polignac number, because 72568953 - 2⁵ = 72568921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72568899 and 72568908.

It is not an unprimeable number, because it can be changed into a prime (72568957) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 447876 + ... + 448037.

Almost surely, 2^72568953 is an apocalyptic number.

It is an amenable number.

72568953 is a deficient number, since it is larger than the sum of its proper divisors (35836641).

72568953 is an equidigital number, since it uses as much as digits as its factorization.

72568953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895925 (or 895916 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 72568953 is about 8518.7412802597. The cubic root of 72568953 is about 417.1096963102.

The spelling of 72568953 in words is "seventy-two million, five hundred sixty-eight thousand, nine hundred fifty-three".