72365965 has 16 divisors (see below), whose sum is σ = 104469120. Its totient is φ = 47010240.

The previous prime is 72365959. The next prime is 72365983. The reversal of 72365965 is 56956327.

It is not a de Polignac number, because 72365965 - 2⁷ = 72365837 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53746 + ... + 55075.

It is an arithmetic number, because the mean of its divisors is an integer number (6529320).

Almost surely, 2^72365965 is an apocalyptic number.

It is an amenable number.

72365965 is a deficient number, since it is larger than the sum of its proper divisors (32103155).

72365965 is a wasteful number, since it uses less digits than its factorization.

72365965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108852.

The product of its digits is 340200, while the sum is 43.

The square root of 72365965 is about 8506.8187355791. The cubic root of 72365965 is about 416.7204236419.

The spelling of 72365965 in words is "seventy-two million, three hundred sixty-five thousand, nine hundred sixty-five".