72054706913280 has 1800 divisors, whose sum is σ = 323630638375968. Its totient is φ = 15201859534848.

The previous prime is 72054706913279. The next prime is 72054706913339. The reversal of 72054706913280 is 8231960745027.

It is a happy number.

72054706913280 is a `hidden beast` number, since 7 + 2 + 0 + 5 + 470 + 6 + 91 + 3 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4226817717 + ... + 4226834763.

It is a 1-persistent number, because it is pandigital, but 2⋅72054706913280 = 144109413826560 is not.

Almost surely, 2^{72054706913280} is an apocalyptic number.

72054706913280 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 72054706913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161815319187984).

72054706913280 is an abundant number, since it is smaller than the sum of its proper divisors (251575931462688).

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

72054706913280 is a wasteful number, since it uses less digits than its factorization.

72054706913280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17119 (or 17077 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 72054706913280 in words is "seventy-two trillion, fifty-four billion, seven hundred six million, nine hundred thirteen thousand, two hundred eighty".