73720800 has 144 divisors (see below), whose sum is σ = 266701680. Its totient is φ = 19653120.

The previous prime is 73720799. The next prime is 73720811. The reversal of 73720800 is 802737.

73720800 = T₂₄₁₆ + T₂₄₁₇ + ... + T₂₄₄₀.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19894 + ... + 23306.

It is an arithmetic number, because the mean of its divisors is an integer number (1852095).

Almost surely, 2^73720800 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 73720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133350840).

73720800 is an abundant number, since it is smaller than the sum of its proper divisors (192980880).

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

73720800 is a wasteful number, since it uses less digits than its factorization.

73720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 73720800 is about 8586.0817606170. The cubic root of 73720800 is about 419.3049729343.

The spelling of 73720800 in words is "seventy-three million, seven hundred twenty thousand, eight hundred".