72263997 has 24 divisors (see below), whose sum is σ = 115455704. Its totient is φ = 43265664.

The previous prime is 72263993. The next prime is 72264001. The reversal of 72263997 is 79936227.

It is a happy number.

72263997 is a `hidden beast` number, since 7 + 2 + 2 + 639 + 9 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (72263993) and next prime (72264001).

It can be written as a sum of positive squares in 4 ways, for example, as 2056356 + 70207641 = 1434^2 + 8379^2 .

It is not a de Polignac number, because 72263997 - 2² = 72263993 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72263993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4018 + ... + 12675.

Almost surely, 2^72263997 is an apocalyptic number.

It is an amenable number.

72263997 is a deficient number, since it is larger than the sum of its proper divisors (43191707).

72263997 is a wasteful number, since it uses less digits than its factorization.

72263997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16749 (or 16746 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 72263997 is about 8500.8233130680. The cubic root of 72263997 is about 416.5246035867.

The spelling of 72263997 in words is "seventy-two million, two hundred sixty-three thousand, nine hundred ninety-seven".