75180096 has 112 divisors (see below), whose sum is σ = 223316800. Its totient is φ = 24800256.

The previous prime is 75180071. The next prime is 75180107. The reversal of 75180096 is 69008157.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 75180096.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240036 + ... + 240348.

It is an arithmetic number, because the mean of its divisors is an integer number (1993900).

Almost surely, 2^75180096 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 75180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111658400).

75180096 is an abundant number, since it is smaller than the sum of its proper divisors (148136704).

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

75180096 is a wasteful number, since it uses less digits than its factorization.

75180096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 75180096 is about 8670.6456506998. The cubic root of 75180096 is about 422.0536158227.

The spelling of 75180096 in words is "seventy-five million, one hundred eighty thousand, ninety-six".