72613053 has 24 divisors (see below), whose sum is σ = 106774200. Its totient is φ = 47545344.

The previous prime is 72613039. The next prime is 72613061. The reversal of 72613053 is 35031627.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1750329 + 70862724 = 1323^2 + 8418^2 .

It is not a de Polignac number, because 72613053 - 2¹² = 72608957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72613753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215301 + ... + 215637.

It is an arithmetic number, because the mean of its divisors is an integer number (4448925).

Almost surely, 2^72613053 is an apocalyptic number.

It is an amenable number.

72613053 is a deficient number, since it is larger than the sum of its proper divisors (34161147).

72613053 is a wasteful number, since it uses less digits than its factorization.

72613053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 72613053 is about 8521.3292977094. The cubic root of 72613053 is about 417.1941714289.

The spelling of 72613053 in words is "seventy-two million, six hundred thirteen thousand, fifty-three".