76112256 has 128 divisors (see below), whose sum is σ = 226978560. Its totient is φ = 22394880.

The previous prime is 76112251. The next prime is 76112261. The reversal of 76112256 is 65221167.

It is an interprime number because it is at equal distance from previous prime (76112251) and next prime (76112261).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76112251) 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, 156045 + ... + 156531.

It is an arithmetic number, because the mean of its divisors is an integer number (1773270).

Almost surely, 2^76112256 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 76112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113489280).

76112256 is an abundant number, since it is smaller than the sum of its proper divisors (150866304).

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

76112256 is a wasteful number, since it uses less digits than its factorization.

76112256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 540 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 76112256 is about 8724.2338345553. The cubic root of 76112256 is about 423.7908069751.

The spelling of 76112256 in words is "seventy-six million, one hundred twelve thousand, two hundred fifty-six".