2072958672 has 80 divisors (see below), whose sum is σ = 5680350720. Its totient is φ = 649584000.

The previous prime is 2072958619. The next prime is 2072958677. The reversal of 2072958672 is 2768592702.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072958677) 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, 110797 + ... + 128147.

It is an arithmetic number, because the mean of its divisors is an integer number (71004384).

Almost surely, 2^2072958672 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 2072958672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840175360).

2072958672 is an abundant number, since it is smaller than the sum of its proper divisors (3607392048).

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

2072958672 is a wasteful number, since it uses less digits than its factorization.

2072958672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17512 (or 17506 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 2072958672 is about 45529.7558965563. The cubic root of 2072958672 is about 1275.0588048234.

It can be divided in two parts, 20729 and 58672, that added together give a triangular number (79401 = T₃₉₈).

The spelling of 2072958672 in words is "two billion, seventy-two million, nine hundred fifty-eight thousand, six hundred seventy-two".