76248128 has 112 divisors (see below), whose sum is σ = 183026304. Its totient is φ = 31088640.

The previous prime is 76248113. The next prime is 76248131. The reversal of 76248128 is 82184267.

It is a junction number, because it is equal to n+sod(n) for n = 76248091 and 76248100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275126 + ... + 275402.

Almost surely, 2^76248128 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 76248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91513152).

76248128 is an abundant number, since it is smaller than the sum of its proper divisors (106778176).

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

76248128 is a wasteful number, since it uses less digits than its factorization.

76248128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 76248128 is about 8732.0174072204. The cubic root of 76248128 is about 424.0428341679.

The spelling of 76248128 in words is "seventy-six million, two hundred forty-eight thousand, one hundred twenty-eight".