75311136 has 72 divisors (see below), whose sum is σ = 225454320. Its totient is φ = 23780736.

The previous prime is 75311113. The next prime is 75311147. The reversal of 75311136 is 63111357.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×75311136² = 11343534411220992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1410 + ... + 12353.

It is an arithmetic number, because the mean of its divisors is an integer number (3131310).

Almost surely, 2^75311136 is an apocalyptic number.

75311136 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 75311136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112727160).

75311136 is an abundant number, since it is smaller than the sum of its proper divisors (150143184).

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

75311136 is a wasteful number, since it uses less digits than its factorization.

75311136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13798 (or 13787 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 75311136 is about 8678.1988914751. The cubic root of 75311136 is about 422.2986886848.

The spelling of 75311136 in words is "seventy-five million, three hundred eleven thousand, one hundred thirty-six".