75116496 has 160 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 19095552.

The previous prime is 75116477. The next prime is 75116497. The reversal of 75116496 is 69461157.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75116497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126376 + ... + 126968.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^75116496 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 75116496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

75116496 is an abundant number, since it is smaller than the sum of its proper divisors (172367664).

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

75116496 is a wasteful number, since it uses less digits than its factorization.

75116496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 647 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 75116496 is about 8666.9773277654. The cubic root of 75116496 is about 421.9345675449.

The spelling of 75116496 in words is "seventy-five million, one hundred sixteen thousand, four hundred ninety-six".