72350820 has 72 divisors (see below), whose sum is σ = 227607744. Its totient is φ = 19292256.

The previous prime is 72350809. The next prime is 72350843. The reversal of 72350820 is 2805327.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2584 + ... + 12303.

Almost surely, 2^72350820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72350820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113803872).

72350820 is an abundant number, since it is smaller than the sum of its proper divisors (155256924).

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

72350820 is a wasteful number, since it uses less digits than its factorization.

72350820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14911 (or 14897 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72350820 is about 8505.9285207436. The cubic root of 72350820 is about 416.6913507154.

The spelling of 72350820 in words is "seventy-two million, three hundred fifty thousand, eight hundred twenty".