70429200 has 120 divisors (see below), whose sum is σ = 237559200. Its totient is φ = 17786880.

The previous prime is 70429199. The next prime is 70429213. The reversal of 70429200 is 292407.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21256 + ... + 24344.

It is an arithmetic number, because the mean of its divisors is an integer number (1979660).

Almost surely, 2^70429200 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 70429200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118779600).

70429200 is an abundant number, since it is smaller than the sum of its proper divisors (167130000).

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

70429200 is a wasteful number, since it uses less digits than its factorization.

70429200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3118 counting only the distinct ones).

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

The square root of 70429200 is about 8392.2106741907. The cubic root of 70429200 is about 412.9691265100.

The spelling of 70429200 in words is "seventy million, four hundred twenty-nine thousand, two hundred".