72865969 has 16 divisors (see below), whose sum is σ = 83969280. Its totient is φ = 62534160.

The previous prime is 72865963. The next prime is 72865981. The reversal of 72865969 is 96956827.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72865969 is a prime.

It is a super-2 number, since 2×72865969² = 10618898876617922, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (1632960) is a multiple of the sum of its prime divisors (1260).

It is not an unprimeable number, because it can be changed into a prime (72865963) 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, 92194 + ... + 92980.

It is an arithmetic number, because the mean of its divisors is an integer number (5248080).

Almost surely, 2^72865969 is an apocalyptic number.

It is an amenable number.

72865969 is a deficient number, since it is larger than the sum of its proper divisors (11103311).

72865969 is a wasteful number, since it uses less digits than its factorization.

72865969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260.

The product of its digits is 1632960, while the sum is 52.

The square root of 72865969 is about 8536.1565707290. The cubic root of 72865969 is about 417.6779816527.

The spelling of 72865969 in words is "seventy-two million, eight hundred sixty-five thousand, nine hundred sixty-nine".