72300928 has 128 divisors (see below), whose sum is σ = 180172800. Its totient is φ = 28200960.

The previous prime is 72300919. The next prime is 72300967. The reversal of 72300928 is 82900327.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×72300928² = 10454848379322368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 72300928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527676 + ... + 527812.

It is an arithmetic number, because the mean of its divisors is an integer number (1407600).

Almost surely, 2^72300928 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 72300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90086400).

72300928 is an abundant number, since it is smaller than the sum of its proper divisors (107871872).

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

72300928 is a wasteful number, since it uses less digits than its factorization.

72300928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 72300928 is about 8502.9952369739. The cubic root of 72300928 is about 416.5955473994.

The spelling of 72300928 in words is "seventy-two million, three hundred thousand, nine hundred twenty-eight".