72965691 has 40 divisors (see below), whose sum is σ = 113186304. Its totient is φ = 46811520.

The previous prime is 72965663. The next prime is 72965693. The reversal of 72965691 is 19656927.

It is a happy number.

It is not a de Polignac number, because 72965691 - 2¹³ = 72957499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72965693) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 421681 + ... + 421853.

Almost surely, 2^72965691 is an apocalyptic number.

72965691 is a deficient number, since it is larger than the sum of its proper divisors (40220613).

72965691 is a wasteful number, since it uses less digits than its factorization.

72965691 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 344 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 72965691 is about 8541.9957269950. The cubic root of 72965691 is about 417.8684349724.

The spelling of 72965691 in words is "seventy-two million, nine hundred sixty-five thousand, six hundred ninety-one".