77112252 has 72 divisors (see below), whose sum is σ = 229978112. Its totient is φ = 21319200.

The previous prime is 77112251. The next prime is 77112253. The reversal of 77112252 is 25221177.

It is an interprime number because it is at equal distance from previous prime (77112251) and next prime (77112253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77112251) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2877 + ... + 12747.

Almost surely, 2^77112252 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 77112252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114989056).

77112252 is an abundant number, since it is smaller than the sum of its proper divisors (152865860).

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

77112252 is a wasteful number, since it uses less digits than its factorization.

77112252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9919 (or 9914 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 77112252 is about 8781.3582092977. The cubic root of 77112252 is about 425.6387203428.

The spelling of 77112252 in words is "seventy-seven million, one hundred twelve thousand, two hundred fifty-two".