72245796480 has 1024 divisors, whose sum is σ = 304129728000. Its totient is φ = 16073441280.

The previous prime is 72245796463. The next prime is 72245796499. The reversal of 72245796480 is 8469754227.

72245796480 is a `hidden beast` number, since 7 + 2 + 2 + 4 + 579 + 64 + 8 + 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 127 ways as a sum of consecutive naturals, for example, 417605674 + ... + 417605846.

Almost surely, 2^72245796480 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 72245796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152064864000).

72245796480 is an abundant number, since it is smaller than the sum of its proper divisors (231883931520).

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

72245796480 is a wasteful number, since it uses less digits than its factorization.

72245796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 72245796480 in words is "seventy-two billion, two hundred forty-five million, seven hundred ninety-six thousand, four hundred eighty".