72509346 has 48 divisors (see below), whose sum is σ = 193362624. Its totient is φ = 19122912.

The previous prime is 72509323. The next prime is 72509383. The reversal of 72509346 is 64390527.

It is a super-3 number, since 3×72509346³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72509346.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20496 + ... + 23771.

It is an arithmetic number, because the mean of its divisors is an integer number (4028388).

Almost surely, 2^72509346 is an apocalyptic number.

72509346 is an abundant number, since it is smaller than the sum of its proper divisors (120853278).

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

72509346 is a wasteful number, since it uses less digits than its factorization.

72509346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44295 (or 44292 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72509346 is about 8515.2419812945. The cubic root of 72509346 is about 416.9954625733.

The spelling of 72509346 in words is "seventy-two million, five hundred nine thousand, three hundred forty-six".