75995136 has 288 divisors, whose sum is σ = 272563200. Its totient is φ = 19906560.

The previous prime is 75995123. The next prime is 75995137. The reversal of 75995136 is 63159957.

75995136 is a `hidden beast` number, since 7 + 599 + 51 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 75995091 and 75995100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75995137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2451441 + ... + 2451471.

It is an arithmetic number, because the mean of its divisors is an integer number (946400).

Almost surely, 2^75995136 is an apocalyptic number.

75995136 is a gapful number since it is divisible by the number (76) 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 75995136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136281600).

75995136 is an abundant number, since it is smaller than the sum of its proper divisors (196568064).

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

75995136 is a wasteful number, since it uses less digits than its factorization.

75995136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 62 counting only the distinct ones).

The product of its digits is 255150, while the sum is 45.

The square root of 75995136 is about 8717.5189130853. The cubic root of 75995136 is about 423.5733218091.

The spelling of 75995136 in words is "seventy-five million, nine hundred ninety-five thousand, one hundred thirty-six".