70992 has 60 divisors (see below), whose sum is σ = 217620. Its totient is φ = 21504.

The previous prime is 70991. The next prime is 70997. The reversal of 70992 is 29907.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 24336 = 216^2 + 156^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 70992.

It is not an unprimeable number, because it can be changed into a prime (70991) 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, 2434 + ... + 2462.

It is an arithmetic number, because the mean of its divisors is an integer number (3627).

2⁷⁰⁹⁹² is an apocalyptic number.

70992 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 70992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108810).

70992 is an abundant number, since it is smaller than the sum of its proper divisors (146628).

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

70992 is a wasteful number, since it uses less digits than its factorization.

70992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 70992 is about 266.4432397341. The cubic root of 70992 is about 41.4066221991.

The spelling of 70992 in words is "seventy thousand, nine hundred ninety-two".