75856144 has 80 divisors (see below), whose sum is σ = 184488192. Its totient is φ = 29412864.

The previous prime is 75856129. The next prime is 75856147. The reversal of 75856144 is 44165857.

75856144 = T₁₄₇ + T₁₄₈ + ... + T₇₇₀.

It is a junction number, because it is equal to n+sod(n) for n = 75856097 and 75856106.

It is not an unprimeable number, because it can be changed into a prime (75856147) 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, 76677 + ... + 77659.

Almost surely, 2^75856144 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 75856144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92244096).

75856144 is an abundant number, since it is smaller than the sum of its proper divisors (108632048).

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

75856144 is a wasteful number, since it uses less digits than its factorization.

75856144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1058 counting only the distinct ones).

The product of its digits is 134400, while the sum is 40.

The square root of 75856144 is about 8709.5432716073. The cubic root of 75856144 is about 423.3149314477.

The spelling of 75856144 in words is "seventy-five million, eight hundred fifty-six thousand, one hundred forty-four".