7072672320 has 336 divisors, whose sum is σ = 28701723648. Its totient is φ = 1564323840.

The previous prime is 7072672297. The next prime is 7072672331. The reversal of 7072672320 is 232762707.

7072672320 is a `hidden beast` number, since 70 + 7 + 267 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619302 + ... + 630618.

Almost surely, 2^7072672320 is an apocalyptic number.

7072672320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7072672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350861824).

7072672320 is an abundant number, since it is smaller than the sum of its proper divisors (21629051328).

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

7072672320 is a wasteful number, since it uses less digits than its factorization.

7072672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11378 (or 11365 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 7072672320 is about 84099.1814466705. The cubic root of 7072672320 is about 1919.5282695253.

The spelling of 7072672320 in words is "seven billion, seventy-two million, six hundred seventy-two thousand, three hundred twenty".