76016112 has 80 divisors (see below), whose sum is σ = 218914560. Its totient is φ = 22588416.

The previous prime is 76016111. The next prime is 76016113. The reversal of 76016112 is 21161067.

It is an interprime number because it is at equal distance from previous prime (76016111) and next prime (76016113).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76016111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13053 + ... + 17955.

It is an arithmetic number, because the mean of its divisors is an integer number (2736432).

Almost surely, 2^76016112 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 76016112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109457280).

76016112 is an abundant number, since it is smaller than the sum of its proper divisors (142898448).

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

76016112 is a wasteful number, since it uses less digits than its factorization.

76016112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 76016112 is about 8718.7219246860. The cubic root of 76016112 is about 423.6122894638.

Adding to 76016112 its reverse (21161067), we get a palindrome (97177179).

The spelling of 76016112 in words is "seventy-six million, sixteen thousand, one hundred twelve".