70368672 has 96 divisors (see below), whose sum is σ = 207071424. Its totient is φ = 20736000.

The previous prime is 70368653. The next prime is 70368689. The reversal of 70368672 is 27686307.

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

It is a self number, because there is not a number n which added to its sum of digits gives 70368672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38172 + ... + 39972.

It is an arithmetic number, because the mean of its divisors is an integer number (2156994).

Almost surely, 2^70368672 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 70368672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103535712).

70368672 is an abundant number, since it is smaller than the sum of its proper divisors (136702752).

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

70368672 is a wasteful number, since it uses less digits than its factorization.

70368672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 70368672 is about 8388.6036978749. The cubic root of 70368672 is about 412.8507884749.

The spelling of 70368672 in words is "seventy million, three hundred sixty-eight thousand, six hundred seventy-two".