77398272 has 108 divisors (see below), whose sum is σ = 255091200. Its totient is φ = 22109184.

The previous prime is 77398271. The next prime is 77398273. The reversal of 77398272 is 27289377.

It is an interprime number because it is at equal distance from previous prime (77398271) and next prime (77398273).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (77398271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13729 + ... + 18527.

Almost surely, 2^77398272 is an apocalyptic number.

77398272 is a gapful number since it is divisible by the number (72) 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 77398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127545600).

77398272 is an abundant number, since it is smaller than the sum of its proper divisors (177692928).

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

77398272 is a wasteful number, since it uses less digits than its factorization.

77398272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828 (or 4811 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 77398272 is about 8797.6287714361. The cubic root of 77398272 is about 426.1643219808.

The spelling of 77398272 in words is "seventy-seven million, three hundred ninety-eight thousand, two hundred seventy-two".