72212613857280 has 2304 divisors, whose sum is σ = 290422490117760. Its totient is φ = 16550480314368.

The previous prime is 72212613857269. The next prime is 72212613857291. The reversal of 72212613857280 is 8275831621227.

72212613857280 is a `hidden beast` number, since 7 + 2 + 2 + 1 + 2 + 61 + 3 + 8 + 572 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72212613857269) and next prime (72212613857291).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 246459432814 + ... + 246459433106.

Almost surely, 2^{72212613857280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72212613857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145211245058880).

72212613857280 is an abundant number, since it is smaller than the sum of its proper divisors (218209876260480).

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

72212613857280 is a wasteful number, since it uses less digits than its factorization.

72212613857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 72212613857280 in words is "seventy-two trillion, two hundred twelve billion, six hundred thirteen million, eight hundred fifty-seven thousand, two hundred eighty".