72965765 has 8 divisors (see below), whose sum is σ = 87650808. Its totient is φ = 58311360.

The previous prime is 72965759. The next prime is 72965771. The reversal of 72965765 is 56756927.

It is a Cunningham number, because it is equal to 8542²+1.

It is an interprime number because it is at equal distance from previous prime (72965759) and next prime (72965771).

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 72965764 = 1^2 + 8542^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72965765 - 2⁶ = 72965701 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2042 + ... + 12251.

It is an arithmetic number, because the mean of its divisors is an integer number (10956351).

Almost surely, 2^72965765 is an apocalyptic number.

It is an amenable number.

72965765 is a deficient number, since it is larger than the sum of its proper divisors (14685043).

72965765 is a wasteful number, since it uses less digits than its factorization.

72965765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15319.

The product of its digits is 793800, while the sum is 47.

The square root of 72965765 is about 8542.0000585343. Note that the first 4 decimals coincide. The cubic root of 72965765 is about 417.8685762363.

The spelling of 72965765 in words is "seventy-two million, nine hundred sixty-five thousand, seven hundred sixty-five".