76072986 has 64 divisors (see below), whose sum is σ = 186762240. Its totient is φ = 22759920.

The previous prime is 76072981. The next prime is 76073047. The reversal of 76072986 is 68927067.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (76072981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48531 + ... + 50073.

It is an arithmetic number, because the mean of its divisors is an integer number (2918160).

Almost surely, 2^76072986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76072986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93381120).

76072986 is an abundant number, since it is smaller than the sum of its proper divisors (110689254).

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

76072986 is a wasteful number, since it uses less digits than its factorization.

76072986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 76072986 is about 8721.9829167455. The cubic root of 76072986 is about 423.7179097008.

The spelling of 76072986 in words is "seventy-six million, seventy-two thousand, nine hundred eighty-six".