72082300 has 36 divisors (see below), whose sum is σ = 157255560. Its totient is φ = 28678720.

The previous prime is 72082289. The next prime is 72082301. The reversal of 72082300 is 328027.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72082301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17871 + ... + 21529.

It is an arithmetic number, because the mean of its divisors is an integer number (4368210).

Almost surely, 2^72082300 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 72082300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78627780).

72082300 is an abundant number, since it is smaller than the sum of its proper divisors (85173260).

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

72082300 is a wasteful number, since it uses less digits than its factorization.

72082300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 72082300 is about 8490.1295632046. The cubic root of 72082300 is about 416.1752143448.

The spelling of 72082300 in words is "seventy-two million, eighty-two thousand, three hundred".