76068672 has 56 divisors (see below), whose sum is σ = 202692000. Its totient is φ = 25176576.

The previous prime is 76068649. The next prime is 76068679. The reversal of 76068672 is 27686067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76068679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27279 + ... + 29937.

It is an arithmetic number, because the mean of its divisors is an integer number (3619500).

Almost surely, 2^76068672 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 76068672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101346000).

76068672 is an abundant number, since it is smaller than the sum of its proper divisors (126623328).

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

76068672 is a wasteful number, since it uses less digits than its factorization.

76068672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 76068672 is about 8721.7356070911. The cubic root of 76068672 is about 423.7099000524.

The spelling of 76068672 in words is "seventy-six million, sixty-eight thousand, six hundred seventy-two".