72354572801280 has 4320 divisors, whose sum is σ = 351447847204608. Its totient is φ = 14020057497600.

The previous prime is 72354572801279. The next prime is 72354572801297. The reversal of 72354572801280 is 8210827545327.

72354572801280 is a `hidden beast` number, since 7 + 2 + 3 + 54 + 572 + 8 + 0 + 12 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 479 ways as a sum of consecutive naturals, for example, 52698158674 + ... + 52698160046.

Almost surely, 2^{72354572801280} is an apocalyptic number.

72354572801280 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 72354572801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175723923602304).

72354572801280 is an abundant number, since it is smaller than the sum of its proper divisors (279093274403328).

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

72354572801280 is a wasteful number, since it uses less digits than its factorization.

72354572801280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 72354572801280 in words is "seventy-two trillion, three hundred fifty-four billion, five hundred seventy-two million, eight hundred one thousand, two hundred eighty".