77251872 has 96 divisors (see below), whose sum is σ = 218877120. Its totient is φ = 23777280.

The previous prime is 77251861. The next prime is 77251877. The reversal of 77251872 is 27815277.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 77251872.

It is not an unprimeable number, because it can be changed into a prime (77251877) 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, 74268 + ... + 75300.

It is an arithmetic number, because the mean of its divisors is an integer number (2279970).

Almost surely, 2^77251872 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 77251872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109438560).

77251872 is an abundant number, since it is smaller than the sum of its proper divisors (141625248).

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

77251872 is a wasteful number, since it uses less digits than its factorization.

77251872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1098 counting only the distinct ones).

The product of its digits is 54880, while the sum is 39.

The square root of 77251872 is about 8789.3044093375. The cubic root of 77251872 is about 425.8954536370.

The spelling of 77251872 in words is "seventy-seven million, two hundred fifty-one thousand, eight hundred seventy-two".