76114872 has 48 divisors (see below), whose sum is σ = 207539280. Its totient is φ = 25200000.

The previous prime is 76114867. The next prime is 76114873. The reversal of 76114872 is 27841167.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76114873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7372 + ... + 14372.

It is an arithmetic number, because the mean of its divisors is an integer number (4323735).

Almost surely, 2^76114872 is an apocalyptic number.

76114872 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 76114872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103769640).

76114872 is an abundant number, since it is smaller than the sum of its proper divisors (131424408).

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

76114872 is a wasteful number, since it uses less digits than its factorization.

76114872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7157 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 76114872 is about 8724.3837604727. The cubic root of 76114872 is about 423.7956621898.

The spelling of 76114872 in words is "seventy-six million, one hundred fourteen thousand, eight hundred seventy-two".