72372753 has 12 divisors (see below), whose sum is σ = 105714180. Its totient is φ = 47705856.

The previous prime is 72372739. The next prime is 72372803. The reversal of 72372753 is 35727327.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 68013009 = 2088^2 + 8247^2 .

It is not a de Polignac number, because 72372753 - 2⁴ = 72372737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72372733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44376 + ... + 45977.

It is an arithmetic number, because the mean of its divisors is an integer number (8809515).

Almost surely, 2^72372753 is an apocalyptic number.

It is an amenable number.

72372753 is a deficient number, since it is larger than the sum of its proper divisors (33341427).

72372753 is a wasteful number, since it uses less digits than its factorization.

72372753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90448 (or 90445 counting only the distinct ones).

The product of its digits is 61740, while the sum is 36.

The square root of 72372753 is about 8507.2177002825. The cubic root of 72372753 is about 416.7334528323.

The spelling of 72372753 in words is "seventy-two million, three hundred seventy-two thousand, seven hundred fifty-three".