72735069 has 16 divisors (see below), whose sum is σ = 106790400. Its totient is φ = 43667760.

The previous prime is 72735067. The next prime is 72735071. The reversal of 72735069 is 96053727.

It is an interprime number because it is at equal distance from previous prime (72735067) and next prime (72735071).

It is not a de Polignac number, because 72735069 - 2¹ = 72735067 is a prime.

It is a super-2 number, since 2×72735069² = 10580780524869522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72735067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6769 + ... + 13830.

It is an arithmetic number, because the mean of its divisors is an integer number (6674400).

Almost surely, 2^72735069 is an apocalyptic number.

It is an amenable number.

72735069 is a deficient number, since it is larger than the sum of its proper divisors (34055331).

72735069 is a wasteful number, since it uses less digits than its factorization.

72735069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20720.

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 72735069 is about 8528.4857389809. The cubic root of 72735069 is about 417.4277193287.

The spelling of 72735069 in words is "seventy-two million, seven hundred thirty-five thousand, sixty-nine".