72781245900 has 756 divisors, whose sum is σ = 268511661376. Its totient is φ = 17090092800.

The previous prime is 72781245883. The next prime is 72781245917. The reversal of 72781245900 is 954218727.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72781245883) and next prime (72781245917).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 326373189 + ... + 326373411.

Almost surely, 2^72781245900 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 72781245900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134255830688).

72781245900 is an abundant number, since it is smaller than the sum of its proper divisors (195730415476).

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

72781245900 is a wasteful number, since it uses less digits than its factorization.

72781245900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 72781245900 in words is "seventy-two billion, seven hundred eighty-one million, two hundred forty-five thousand, nine hundred".