72681241456 has 40 divisors (see below), whose sum is σ = 145555259264. Its totient is φ = 35121703680.

The previous prime is 72681241441. The next prime is 72681241469. The reversal of 72681241456 is 65414218627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278686 + ... + 472258.

Almost surely, 2^72681241456 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 72681241456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72777629632).

72681241456 is an abundant number, since it is smaller than the sum of its proper divisors (72874017808).

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

72681241456 is a wasteful number, since it uses less digits than its factorization.

72681241456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194369 (or 194363 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The spelling of 72681241456 in words is "seventy-two billion, six hundred eighty-one million, two hundred forty-one thousand, four hundred fifty-six".