70032 has 20 divisors (see below), whose sum is σ = 181040. Its totient is φ = 23328.

The previous prime is 70019. The next prime is 70039. The reversal of 70032 is 23007.

70032 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 70032.

It is not an unprimeable number, because it can be changed into a prime (70039) by changing a digit.

70032 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, 682 + ... + 777.

It is an arithmetic number, because the mean of its divisors is an integer number (9052).

2⁷⁰⁰³² is an apocalyptic number.

It is an amenable number.

70032 is an abundant number, since it is smaller than the sum of its proper divisors (111008).

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 (90520).

70032 is a wasteful number, since it uses less digits than its factorization.

70032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 70032 is about 264.6355985124. The cubic root of 70032 is about 41.2191320952.

Adding to 70032 its reverse (23007), we get a palindrome (93039).

The spelling of 70032 in words is "seventy thousand, thirty-two".