72403688448 has 792 divisors, whose sum is σ = 268813677600. Its totient is φ = 18356502528.

The previous prime is 72403688431. The next prime is 72403688471. The reversal of 72403688448 is 84488630427.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72403688394 and 72403688403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 316173198 + ... + 316173426.

Almost surely, 2^72403688448 is an apocalyptic number.

72403688448 is a gapful number since it is divisible by the number (78) 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 72403688448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134406838800).

72403688448 is an abundant number, since it is smaller than the sum of its proper divisors (196409989152).

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

72403688448 is a wasteful number, since it uses less digits than its factorization.

72403688448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 72403688448 in words is "seventy-two billion, four hundred three million, six hundred eighty-eight thousand, four hundred forty-eight".