72000078000020 has 48 divisors (see below), whose sum is σ = 151527927873168. Its totient is φ = 28737638400000.

The previous prime is 72000078000007. The next prime is 72000078000029. The reversal of 72000078000020 is 2000087000027.

It can be written as a sum of positive squares in 8 ways, for example, as 30557744744836 + 41442333255184 = 5527906^2 + 6437572^2 .

It is a super-2 number, since 2×72000078000020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72000078000029) 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, 28800020 + ... + 31200020.

It is an arithmetic number, because the mean of its divisors is an integer number (3156831830691).

Almost surely, 2^{72000078000020} is an apocalyptic number.

It is an amenable number.

72000078000020 is an abundant number, since it is smaller than the sum of its proper divisors (79527849873148).

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

72000078000020 is a wasteful number, since it uses less digits than its factorization.

72000078000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403260 (or 2403258 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The spelling of 72000078000020 in words is "seventy-two trillion, seventy-eight million, twenty", and thus it is an aban number and an uban number.