75115700 has 72 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 26118400.

The previous prime is 75115687. The next prime is 75115709. The reversal of 75115700 is 751157.

It is a self number, because there is not a number n which added to its sum of digits gives 75115700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75115709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23816 + ... + 26784.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^75115700 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 75115700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

75115700 is an abundant number, since it is smaller than the sum of its proper divisors (110497420).

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

75115700 is a wasteful number, since it uses less digits than its factorization.

75115700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 26.

The square root of 75115700 is about 8666.9314062129. The cubic root of 75115700 is about 421.9330771439.

Adding to 75115700 its reverse (751157), we get a palindrome (75866857).

Multiplying 75115700 by its reverse (751157), we get a square (56423683864900 = 7511570²).

75115700 divided by its reverse (751157) gives a square (100 = 10²).

The spelling of 75115700 in words is "seventy-five million, one hundred fifteen thousand, seven hundred".