72862240896 has 384 divisors, whose sum is σ = 225839016000. Its totient is φ = 22481141760.

The previous prime is 72862240879. The next prime is 72862240901. The reversal of 72862240896 is 69804226827.

72862240896 is a `hidden beast` number, since 7 + 2 + 8 + 622 + 4 + 0 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×72862240896² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220127451 + ... + 220127781.

Almost surely, 2^72862240896 is an apocalyptic number.

72862240896 is a gapful number since it is divisible by the number (76) 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 72862240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112919508000).

72862240896 is an abundant number, since it is smaller than the sum of its proper divisors (152976775104).

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

72862240896 is a wasteful number, since it uses less digits than its factorization.

72862240896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 557 counting only the distinct ones).

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

The spelling of 72862240896 in words is "seventy-two billion, eight hundred sixty-two million, two hundred forty thousand, eight hundred ninety-six".