70075200 has 168 divisors, whose sum is σ = 247810528. Its totient is φ = 17233920.

The previous prime is 70075193. The next prime is 70075217. The reversal of 70075200 is 257007.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 61839 + ... + 62961.

Almost surely, 2^70075200 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 70075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123905264).

70075200 is an abundant number, since it is smaller than the sum of its proper divisors (177735328).

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

70075200 is a wasteful number, since it uses less digits than its factorization.

70075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 70075200 is about 8371.0931185837. The cubic root of 70075200 is about 412.2760584283.

The spelling of 70075200 in words is "seventy million, seventy-five thousand, two hundred".