74006768 has 40 divisors (see below), whose sum is σ = 159096960. Its totient is φ = 33064640.

The previous prime is 74006731. The next prime is 74006783. The reversal of 74006768 is 86760047.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6821 + ... + 13947.

It is an arithmetic number, because the mean of its divisors is an integer number (3977424).

Almost surely, 2^74006768 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 74006768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79548480).

74006768 is an abundant number, since it is smaller than the sum of its proper divisors (85090192).

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

74006768 is a wasteful number, since it uses less digits than its factorization.

74006768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7205 (or 7199 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 74006768 is about 8602.7186400579. The cubic root of 74006768 is about 419.8464442434.

The spelling of 74006768 in words is "seventy-four million, six thousand, seven hundred sixty-eight".