72512319 has 32 divisors (see below), whose sum is σ = 109004544. Its totient is φ = 42497280.

The previous prime is 72512311. The next prime is 72512329. The reversal of 72512319 is 91321527.

It is not a de Polignac number, because 72512319 - 2³ = 72512311 is a prime.

It is a super-2 number, since 2×72512319² = 10516072813515522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72512311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194217 + ... + 194589.

It is an arithmetic number, because the mean of its divisors is an integer number (3406392).

Almost surely, 2^72512319 is an apocalyptic number.

72512319 is a deficient number, since it is larger than the sum of its proper divisors (36492225).

72512319 is a wasteful number, since it uses less digits than its factorization.

72512319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567.

The product of its digits is 3780, while the sum is 30.

The square root of 72512319 is about 8515.4165488248. The cubic root of 72512319 is about 417.0011616574.

The spelling of 72512319 in words is "seventy-two million, five hundred twelve thousand, three hundred nineteen".