72367065 has 48 divisors (see below), whose sum is σ = 129729600. Its totient is φ = 37296000.

The previous prime is 72367063. The next prime is 72367069. The reversal of 72367065 is 56076327.

It is a happy number.

It is not a de Polignac number, because 72367065 - 2¹ = 72367063 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72367063) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 288190 + ... + 288440.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^72367065 is an apocalyptic number.

It is an amenable number.

72367065 is a deficient number, since it is larger than the sum of its proper divisors (57362535).

72367065 is a wasteful number, since it uses less digits than its factorization.

72367065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 72367065 is about 8506.8833893501. The cubic root of 72367065 is about 416.7225350864.

The spelling of 72367065 in words is "seventy-two million, three hundred sixty-seven thousand, sixty-five".