76550112 has 72 divisors (see below), whose sum is σ = 219459240. Its totient is φ = 25309440.

The previous prime is 76550087. The next prime is 76550119. The reversal of 76550112 is 21105567.

76550112 is a `hidden beast` number, since 7 + 655 + 0 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76550119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36714 + ... + 38742.

It is an arithmetic number, because the mean of its divisors is an integer number (3048045).

Almost surely, 2^76550112 is an apocalyptic number.

76550112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76550112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109729620).

76550112 is an abundant number, since it is smaller than the sum of its proper divisors (142909128).

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

76550112 is a wasteful number, since it uses less digits than its factorization.

76550112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 76550112 is about 8749.2920856490. The cubic root of 76550112 is about 424.6019100469.

Adding to 76550112 its reverse (21105567), we get a palindrome (97655679).

The spelling of 76550112 in words is "seventy-six million, five hundred fifty thousand, one hundred twelve".