75125984 has 48 divisors (see below), whose sum is σ = 153579888. Its totient is φ = 36145152.

The previous prime is 75125959. The next prime is 75125987. The reversal of 75125984 is 48952157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75125987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126392 + ... + 126984.

It is an arithmetic number, because the mean of its divisors is an integer number (3199581).

Almost surely, 2^75125984 is an apocalyptic number.

75125984 is a gapful number since it is divisible by the number (74) 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 75125984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76789944).

75125984 is an abundant number, since it is smaller than the sum of its proper divisors (78453904).

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

75125984 is a wasteful number, since it uses less digits than its factorization.

75125984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 739 counting only the distinct ones).

The product of its digits is 100800, while the sum is 41.

The square root of 75125984 is about 8667.5246754768. The cubic root of 75125984 is about 421.9523317150.

The spelling of 75125984 in words is "seventy-five million, one hundred twenty-five thousand, nine hundred eighty-four".