77251132 has 48 divisors (see below), whose sum is σ = 162211840. Its totient is φ = 31492800.

The previous prime is 77251123. The next prime is 77251159. The reversal of 77251132 is 23115277.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 77251132.

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, 52219 + ... + 53677.

Almost surely, 2^77251132 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 77251132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81105920).

77251132 is an abundant number, since it is smaller than the sum of its proper divisors (84960708).

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

77251132 is a wasteful number, since it uses less digits than its factorization.

77251132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1560 counting only the distinct ones).

The product of its digits is 2940, while the sum is 28.

The square root of 77251132 is about 8789.2623126176. The cubic root of 77251132 is about 425.8940937405.

The spelling of 77251132 in words is "seventy-seven million, two hundred fifty-one thousand, one hundred thirty-two".