20072521728 has 672 divisors, whose sum is σ = 73605542400. Its totient is φ = 5138546688.

The previous prime is 20072521691. The next prime is 20072521753. The reversal of 20072521728 is 82712527002.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×20072521728² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20072521692 and 20072521701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225533908 + ... + 225533996.

Almost surely, 2^20072521728 is an apocalyptic number.

20072521728 is a gapful number since it is divisible by the number (28) 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 20072521728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36802771200).

20072521728 is an abundant number, since it is smaller than the sum of its proper divisors (53533020672).

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

20072521728 is a wasteful number, since it uses less digits than its factorization.

20072521728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 20072521728 in words is "twenty billion, seventy-two million, five hundred twenty-one thousand, seven hundred twenty-eight".