72768774 has 32 divisors (see below), whose sum is σ = 158215680. Its totient is φ = 22178592.

The previous prime is 72768763. The next prime is 72768793. The reversal of 72768774 is 47786727.

It is a congruent number.

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, 3987 + ... + 12705.

It is an arithmetic number, because the mean of its divisors is an integer number (4944240).

Almost surely, 2^72768774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72768774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79107840).

72768774 is an abundant number, since it is smaller than the sum of its proper divisors (85446906).

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

72768774 is a wasteful number, since it uses less digits than its factorization.

72768774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8844.

The product of its digits is 921984, while the sum is 48.

The square root of 72768774 is about 8530.4615349933. The cubic root of 72768774 is about 417.4921872156.

The spelling of 72768774 in words is "seventy-two million, seven hundred sixty-eight thousand, seven hundred seventy-four".