73875400 has 48 divisors (see below), whose sum is σ = 172617300. Its totient is φ = 29402880.

The previous prime is 73875371. The next prime is 73875407. The reversal of 73875400 is 457837.

It can be written as a sum of positive squares in 6 ways, for example, as 50041476 + 23833924 = 7074^2 + 4882^2 .

It is not an unprimeable number, because it can be changed into a prime (73875407) 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, 44994 + ... + 46606.

Almost surely, 2^73875400 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 73875400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86308650).

73875400 is an abundant number, since it is smaller than the sum of its proper divisors (98741900).

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

73875400 is a wasteful number, since it uses less digits than its factorization.

73875400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 73875400 is about 8595.0799879931. The cubic root of 73875400 is about 419.5978766421.

The spelling of 73875400 in words is "seventy-three million, eight hundred seventy-five thousand, four hundred".