70092672 has 128 divisors (see below), whose sum is σ = 211344000. Its totient is φ = 20404224.

The previous prime is 70092667. The next prime is 70092677. The reversal of 70092672 is 27629007.

It is an interprime number because it is at equal distance from previous prime (70092667) and next prime (70092677).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70092677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94479 + ... + 95217.

It is an arithmetic number, because the mean of its divisors is an integer number (1651125).

Almost surely, 2^70092672 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 70092672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105672000).

70092672 is an abundant number, since it is smaller than the sum of its proper divisors (141251328).

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

70092672 is a wasteful number, since it uses less digits than its factorization.

70092672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 70092672 is about 8372.1366448476. The cubic root of 70092672 is about 412.3103201391.

The spelling of 70092672 in words is "seventy million, ninety-two thousand, six hundred seventy-two".