72730350 has 144 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 15105600.

The previous prime is 72730331. The next prime is 72730381. The reversal of 72730350 is 5303727.

It is a super-2 number, since 2×72730350² = 10579407622245000, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33601 + ... + 35699.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2^72730350 is an apocalyptic number.

72730350 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72730350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

72730350 is an abundant number, since it is smaller than the sum of its proper divisors (171004050).

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

72730350 is a wasteful number, since it uses less digits than its factorization.

72730350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 72730350 is about 8528.2090734222. The cubic root of 72730350 is about 417.4186916614.

The spelling of 72730350 in words is "seventy-two million, seven hundred thirty thousand, three hundred fifty".