70013200 has 60 divisors (see below), whose sum is σ = 169970148. Its totient is φ = 27712000.

The previous prime is 70013189. The next prime is 70013231. The reversal of 70013200 is 231007.

It can be written as a sum of positive squares in 6 ways, for example, as 1056784 + 68956416 = 1028^2 + 8304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39534 + ... + 41266.

Almost surely, 2^70013200 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 70013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84985074).

70013200 is an abundant number, since it is smaller than the sum of its proper divisors (99956948).

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

70013200 is a wasteful number, since it uses less digits than its factorization.

70013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 70013200 is about 8367.3890790377. The cubic root of 70013200 is about 412.1544335746.

Adding to 70013200 its reverse (231007), we get a palindrome (70244207).

It can be divided in two parts, 7001 and 3200, that added together give a palindrome (10201).

The spelling of 70013200 in words is "seventy million, thirteen thousand, two hundred".