77112032 has 48 divisors (see below), whose sum is σ = 162887760. Its totient is φ = 35822592.

The previous prime is 77112023. The next prime is 77112037. The reversal of 77112032 is 23021177.

It is a junction number, because it is equal to n+sod(n) for n = 77111989 and 77112007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77112037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31028 + ... + 33420.

It is an arithmetic number, because the mean of its divisors is an integer number (3393495).

Almost surely, 2^77112032 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 77112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81443880).

77112032 is an abundant number, since it is smaller than the sum of its proper divisors (85775728).

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

77112032 is a wasteful number, since it uses less digits than its factorization.

77112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 77112032 is about 8781.3456827527. The cubic root of 77112032 is about 425.6383155623.

The spelling of 77112032 in words is "seventy-seven million, one hundred twelve thousand, thirty-two".