72465693 has 32 divisors (see below), whose sum is σ = 104616960. Its totient is φ = 44513280.

The previous prime is 72465689. The next prime is 72465733. The reversal of 72465693 is 39656427.

It is not a de Polignac number, because 72465693 - 2² = 72465689 is a prime.

It is a super-3 number, since 3×72465693³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72465623) 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, 261471 + ... + 261747.

It is an arithmetic number, because the mean of its divisors is an integer number (3269280).

Almost surely, 2^72465693 is an apocalyptic number.

It is an amenable number.

72465693 is a deficient number, since it is larger than the sum of its proper divisors (32151267).

72465693 is a wasteful number, since it uses less digits than its factorization.

72465693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437.

The product of its digits is 272160, while the sum is 42.

The square root of 72465693 is about 8512.6783681753. The cubic root of 72465693 is about 416.9117641349.

The spelling of 72465693 in words is "seventy-two million, four hundred sixty-five thousand, six hundred ninety-three".