73372800 has 96 divisors (see below), whose sum is σ = 241703280. Its totient is φ = 19563520.

The previous prime is 73372787. The next prime is 73372801. The reversal of 73372800 is 827337.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (73372801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5779 + ... + 13421.

Almost surely, 2^73372800 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 73372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120851640).

73372800 is an abundant number, since it is smaller than the sum of its proper divisors (168330480).

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

73372800 is a wasteful number, since it uses less digits than its factorization.

73372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7670 (or 7653 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 73372800 is about 8565.7924326941. The cubic root of 73372800 is about 418.6441538374.

The spelling of 73372800 in words is "seventy-three million, three hundred seventy-two thousand, eight hundred".