72463365 has 48 divisors (see below), whose sum is σ = 136766448. Its totient is φ = 35278848.

The previous prime is 72463361. The next prime is 72463379. The reversal of 72463365 is 56336427.

It can be written as a sum of positive squares in 8 ways, for example, as 3207681 + 69255684 = 1791^2 + 8322^2 .

It is not a de Polignac number, because 72463365 - 2² = 72463361 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72463361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56107 + ... + 57383.

It is an arithmetic number, because the mean of its divisors is an integer number (2849301).

Almost surely, 2^72463365 is an apocalyptic number.

It is an amenable number.

72463365 is a deficient number, since it is larger than the sum of its proper divisors (64303083).

72463365 is a wasteful number, since it uses less digits than its factorization.

72463365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1395 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 72463365 is about 8512.5416298542. The cubic root of 72463365 is about 416.9072995809.

The spelling of 72463365 in words is "seventy-two million, four hundred sixty-three thousand, three hundred sixty-five".