75877152 has 96 divisors (see below), whose sum is σ = 216393408. Its totient is φ = 23141376.

The previous prime is 75877141. The next prime is 75877157. The reversal of 75877152 is 25177857.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×75877152² = 11514684391262208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75877157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203238 + ... + 203610.

It is an arithmetic number, because the mean of its divisors is an integer number (2254098).

Almost surely, 2^75877152 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 75877152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108196704).

75877152 is an abundant number, since it is smaller than the sum of its proper divisors (140516256).

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

75877152 is a wasteful number, since it uses less digits than its factorization.

75877152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its digits is 137200, while the sum is 42.

The square root of 75877152 is about 8710.7492215079. The cubic root of 75877152 is about 423.3540061962.

The spelling of 75877152 in words is "seventy-five million, eight hundred seventy-seven thousand, one hundred fifty-two".