20072128302720 has 1792 divisors, whose sum is σ = 79247950135200. Its totient is φ = 4829554409472.

The previous prime is 20072128302697. The next prime is 20072128302731. The reversal of 20072128302720 is 2720382127002.

It is a happy number.

20072128302720 is a `hidden beast` number, since 200 + 7 + 2 + 128 + 302 + 7 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 451551744576 + 19620576558144 = 671976^2 + 4429512^2 .

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 223 ways as a sum of consecutive naturals, for example, 64128205284 + ... + 64128205596.

Almost surely, 2^{20072128302720} is an apocalyptic number.

20072128302720 is a gapful number since it is divisible by the number (20) 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 20072128302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39623975067600).

20072128302720 is an abundant number, since it is smaller than the sum of its proper divisors (59175821832480).

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

20072128302720 is a wasteful number, since it uses less digits than its factorization.

20072128302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 20072128302720 in words is "twenty trillion, seventy-two billion, one hundred twenty-eight million, three hundred two thousand, seven hundred twenty".