72420020756720 has 720 divisors, whose sum is σ = 223277469630912. Its totient is φ = 21728704757760.

The previous prime is 72420020756717. The next prime is 72420020756723. The reversal of 72420020756720 is 2765702002427.

It is an interprime number because it is at equal distance from previous prime (72420020756717) and next prime (72420020756723).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72420020756723) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1721764490 + ... + 1721806550.

Almost surely, 2^{72420020756720} is an apocalyptic number.

72420020756720 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 72420020756720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111638734815456).

72420020756720 is an abundant number, since it is smaller than the sum of its proper divisors (150857448874192).

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

72420020756720 is a wasteful number, since it uses less digits than its factorization.

72420020756720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42250 (or 42224 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 44.

The spelling of 72420020756720 in words is "seventy-two trillion, four hundred twenty billion, twenty million, seven hundred fifty-six thousand, seven hundred twenty".