77456272 has 40 divisors (see below), whose sum is σ = 158114880. Its totient is φ = 36685440.

The previous prime is 77456237. The next prime is 77456297. The reversal of 77456272 is 27265477.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39147 + ... + 41077.

It is an arithmetic number, because the mean of its divisors is an integer number (3952872).

Almost surely, 2^77456272 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 77456272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79057440).

77456272 is an abundant number, since it is smaller than the sum of its proper divisors (80658608).

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

77456272 is a wasteful number, since it uses less digits than its factorization.

77456272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2065 counting only the distinct ones).

The product of its digits is 164640, while the sum is 40.

The square root of 77456272 is about 8800.9244968924. The cubic root of 77456272 is about 426.2707470917.

The spelling of 77456272 in words is "seventy-seven million, four hundred fifty-six thousand, two hundred seventy-two".