77272728 has 64 divisors (see below), whose sum is σ = 212012640. Its totient is φ = 23322624.

The previous prime is 77272721. The next prime is 77272729. The reversal of 77272728 is 82727277.

It is a self number, because there is not a number n which added to its sum of digits gives 77272728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77272721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14200 + ... + 18872.

Almost surely, 2^77272728 is an apocalyptic number.

77272728 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77272728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106006320).

77272728 is an abundant number, since it is smaller than the sum of its proper divisors (134739912).

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

77272728 is a wasteful number, since it uses less digits than its factorization.

77272728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748 (or 4744 counting only the distinct ones).

The product of its digits is 153664, while the sum is 42.

The square root of 77272728 is about 8790.4907712823. The cubic root of 77272728 is about 425.9337770939.

The spelling of 77272728 in words is "seventy-seven million, two hundred seventy-two thousand, seven hundred twenty-eight".