73875600 has 90 divisors (see below), whose sum is σ = 256381346. Its totient is φ = 19699200.

The previous prime is 73875589. The next prime is 73875601. The reversal of 73875600 is 657837.

It can be written as a sum of positive squares in 3 ways, for example, as 7485696 + 66389904 = 2736^2 + 8148^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (73875601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6661 + ... + 13860.

Almost surely, 2^73875600 is an apocalyptic number.

It is an amenable number.

73875600 is an abundant number, since it is smaller than the sum of its proper divisors (182505746).

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

73875600 is a wasteful number, since it uses less digits than its factorization.

73875600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20545 (or 20531 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 73875600 is about 8595.0916225483. The cubic root of 73875600 is about 419.5982552954.

The spelling of 73875600 in words is "seventy-three million, eight hundred seventy-five thousand, six hundred".