72346365 has 120 divisors (see below), whose sum is σ = 161555328. Its totient is φ = 30326400.

The previous prime is 72346363. The next prime is 72346397. The reversal of 72346365 is 56364327.

It is not a de Polignac number, because 72346365 - 2¹ = 72346363 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72346363) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 479040 + ... + 479190.

Almost surely, 2^72346365 is an apocalyptic number.

It is an amenable number.

72346365 is an abundant number, since it is smaller than the sum of its proper divisors (89208963).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72346365 is a wasteful number, since it uses less digits than its factorization.

72346365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 72346365 is about 8505.6666405403. Note that the first 4 decimals coincide. The cubic root of 72346365 is about 416.6827979532.

The spelling of 72346365 in words is "seventy-two million, three hundred forty-six thousand, three hundred sixty-five".