75125400 has 192 divisors, whose sum is σ = 275220480. Its totient is φ = 16588800.

The previous prime is 75125389. The next prime is 75125459. The reversal of 75125400 is 452157.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129912 + ... + 130488.

It is an arithmetic number, because the mean of its divisors is an integer number (1433440).

Almost surely, 2^75125400 is an apocalyptic number.

75125400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137610240).

75125400 is an abundant number, since it is smaller than the sum of its proper divisors (200095080).

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

75125400 is a wasteful number, since it uses less digits than its factorization.

75125400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 75125400 is about 8667.4909864389. The cubic root of 75125400 is about 421.9512383481.

Adding to 75125400 its reverse (452157), we get a palindrome (75577557).

The spelling of 75125400 in words is "seventy-five million, one hundred twenty-five thousand, four hundred".