72862986240 has 780 divisors, whose sum is σ = 288104664120. Its totient is φ = 17663754240.

The previous prime is 72862986223. The next prime is 72862986277. The reversal of 72862986240 is 4268926827.

72862986240 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 2 + 9 + 8 + 624 + 0 = 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 59 ways as a sum of consecutive naturals, for example, 6623907835 + ... + 6623907845.

It is an arithmetic number, because the mean of its divisors is an integer number (369364954).

Almost surely, 2^72862986240 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 72862986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144052332060).

72862986240 is an abundant number, since it is smaller than the sum of its proper divisors (215241677880).

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

72862986240 is an frugal number, since it uses more digits than its factorization.

72862986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 72862986240 in words is "seventy-two billion, eight hundred sixty-two million, nine hundred eighty-six thousand, two hundred forty".