70944 has 24 divisors (see below), whose sum is σ = 186480. Its totient is φ = 23616.

The previous prime is 70937. The next prime is 70949. The reversal of 70944 is 44907.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×70944² = 10066102272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (70949) by changing a digit.

70944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 274 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (7770).

2⁷⁰⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

70944 is an abundant number, since it is smaller than the sum of its proper divisors (115536).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93240).

70944 is a wasteful number, since it uses less digits than its factorization.

70944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 70944 is about 266.3531490334. The cubic root of 70944 is about 41.3972879738.

The spelling of 70944 in words is "seventy thousand, nine hundred forty-four".