72643293 has 12 divisors (see below), whose sum is σ = 105859260. Its totient is φ = 47999616.

The previous prime is 72643283. The next prime is 72643301. The reversal of 72643293 is 39234627.

It is a happy number.

72643293 is a `hidden beast` number, since 7 + 2 + 643 + 2 + 9 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1375929 + 71267364 = 1173^2 + 8442^2 .

It is not a de Polignac number, because 72643293 - 2¹⁷ = 72512221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72643283) 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, 34698 + ... + 36731.

It is an arithmetic number, because the mean of its divisors is an integer number (8821605).

Almost surely, 2^72643293 is an apocalyptic number.

It is an amenable number.

72643293 is a deficient number, since it is larger than the sum of its proper divisors (33215967).

72643293 is a wasteful number, since it uses less digits than its factorization.

72643293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71548 (or 71545 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 72643293 is about 8523.1034840603. The cubic root of 72643293 is about 417.2520774587.

The spelling of 72643293 in words is "seventy-two million, six hundred forty-three thousand, two hundred ninety-three".