72894978640 has 360 divisors, whose sum is σ = 201225620736. Its totient is φ = 24529612800.

The previous prime is 72894978601. The next prime is 72894978649. The reversal of 72894978640 is 4687949827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72894978649) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198623737 + ... + 198624103.

Almost surely, 2^72894978640 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 72894978640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100612810368).

72894978640 is an abundant number, since it is smaller than the sum of its proper divisors (128330642096).

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

72894978640 is a wasteful number, since it uses less digits than its factorization.

72894978640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 64.

The spelling of 72894978640 in words is "seventy-two billion, eight hundred ninety-four million, nine hundred seventy-eight thousand, six hundred forty".