75038400 has 252 divisors, whose sum is σ = 278015192. Its totient is φ = 19906560.

The previous prime is 75038377. The next prime is 75038401. The reversal of 75038400 is 483057.

It is a super-2 number, since 2×75038400² = 11261522949120000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (75038401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388704 + ... + 388896.

Almost surely, 2^75038400 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 75038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139007596).

75038400 is an abundant number, since it is smaller than the sum of its proper divisors (202976792).

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

75038400 is a wasteful number, since it uses less digits than its factorization.

75038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75038400 is about 8662.4707791715. The cubic root of 75038400 is about 421.7882932918.

The spelling of 75038400 in words is "seventy-five million, thirty-eight thousand, four hundred".