70972800 has 96 divisors (see below), whose sum is σ = 233798280. Its totient is φ = 18923520.

The previous prime is 70972793. The next prime is 70972817. The reversal of 70972800 is 827907.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 5904 + ... + 13296.

Almost surely, 2^70972800 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 70972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116899140).

70972800 is an abundant number, since it is smaller than the sum of its proper divisors (162825480).

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

70972800 is a wasteful number, since it uses less digits than its factorization.

70972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7420 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 70972800 is about 8424.5355955091. The cubic root of 70972800 is about 414.0288901401.

The spelling of 70972800 in words is "seventy million, nine hundred seventy-two thousand, eight hundred".