70512 has 40 divisors (see below), whose sum is σ = 197904. Its totient is φ = 21504.

The previous prime is 70507. The next prime is 70529. The reversal of 70512 is 21507.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 70491 and 70500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568 + ... + 680.

2⁷⁰⁵¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98952).

70512 is an abundant number, since it is smaller than the sum of its proper divisors (127392).

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

70512 is a wasteful number, since it uses less digits than its factorization.

70512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 70512 is about 265.5409572928. The cubic root of 70512 is about 41.3130898675.

It can be divided in two parts, 705 and 12, that added together give a palindrome (717).

The spelling of 70512 in words is "seventy thousand, five hundred twelve".