77112672 has 216 divisors, whose sum is σ = 257603976. Its totient is φ = 20127744.

The previous prime is 77112667. The next prime is 77112703. The reversal of 77112672 is 27621177.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 794928 + ... + 795024.

It is an arithmetic number, because the mean of its divisors is an integer number (1192611).

Almost surely, 2^77112672 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 77112672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128801988).

77112672 is an abundant number, since it is smaller than the sum of its proper divisors (180491304).

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

77112672 is a wasteful number, since it uses less digits than its factorization.

77112672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its digits is 8232, while the sum is 33.

The square root of 77112672 is about 8781.3821235612. The cubic root of 77112672 is about 425.6394931034.

The spelling of 77112672 in words is "seventy-seven million, one hundred twelve thousand, six hundred seventy-two".