76370112 has 336 divisors, whose sum is σ = 284024832. Its totient is φ = 19077120.

The previous prime is 76370111. The next prime is 76370113. The reversal of 76370112 is 21107367.

It is an interprime number because it is at equal distance from previous prime (76370111) and next prime (76370113).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (76370111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1624873 + ... + 1624919.

It is an arithmetic number, because the mean of its divisors is an integer number (845312).

Almost surely, 2^76370112 is an apocalyptic number.

76370112 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 76370112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142012416).

76370112 is an abundant number, since it is smaller than the sum of its proper divisors (207654720).

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

76370112 is a wasteful number, since it uses less digits than its factorization.

76370112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 76370112 is about 8738.9994850669. Note that the first 3 decimals coincide. The cubic root of 76370112 is about 424.2688457542.

Adding to 76370112 its reverse (21107367), we get a palindrome (97477479).

The spelling of 76370112 in words is "seventy-six million, three hundred seventy thousand, one hundred twelve".