72472942080000 has 6240 divisors, whose sum is σ = 362139244346880. Its totient is φ = 14014218240000.

The previous prime is 72472942079903. The next prime is 72472942080001. The reversal of 72472942080000 is 8024927427.

72472942080000 is a `hidden beast` number, since 72 + 472 + 94 + 20 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72472942080001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 814302719956 + ... + 814302720044.

It is an arithmetic number, because the mean of its divisors is an integer number (58035135312).

Almost surely, 2^{72472942080000} is an apocalyptic number.

72472942080000 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 72472942080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181069622173440).

72472942080000 is an abundant number, since it is smaller than the sum of its proper divisors (289666302266880).

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

72472942080000 is an equidigital number, since it uses as much as digits as its factorization.

72472942080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 72472942080000 in words is "seventy-two trillion, four hundred seventy-two billion, nine hundred forty-two million, eighty thousand".