72323800 has 48 divisors (see below), whose sum is σ = 171350640. Its totient is φ = 28379520.

The previous prime is 72323773. The next prime is 72323851. The reversal of 72323800 is 832327.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7189 + ... + 14011.

It is an arithmetic number, because the mean of its divisors is an integer number (3569805).

Almost surely, 2^72323800 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 72323800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85675320).

72323800 is an abundant number, since it is smaller than the sum of its proper divisors (99026840).

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

72323800 is a wasteful number, since it uses less digits than its factorization.

72323800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 72323800 is about 8504.3400684592. The cubic root of 72323800 is about 416.6394720029.

The spelling of 72323800 in words is "seventy-two million, three hundred twenty-three thousand, eight hundred".