72365346 has 64 divisors (see below), whose sum is σ = 167731200. Its totient is φ = 23101200.

The previous prime is 72365341. The next prime is 72365347. The reversal of 72365346 is 64356327.

It is a self number, because there is not a number n which added to its sum of digits gives 72365346.

It is not an unprimeable number, because it can be changed into a prime (72365341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232531 + ... + 232841.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^72365346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72365346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83865600).

72365346 is an abundant number, since it is smaller than the sum of its proper divisors (95365854).

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

72365346 is a wasteful number, since it uses less digits than its factorization.

72365346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

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

The square root of 72365346 is about 8506.7823529229. The cubic root of 72365346 is about 416.7192354652.

The spelling of 72365346 in words is "seventy-two million, three hundred sixty-five thousand, three hundred forty-six".