72254841600 has 864 divisors, whose sum is σ = 271542620160. Its totient is φ = 16809984000.

The previous prime is 72254841587. The next prime is 72254841613. The reversal of 72254841600 is 614845227.

It is an interprime number because it is at equal distance from previous prime (72254841587) and next prime (72254841613).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 378297505 + ... + 378297695.

It is an arithmetic number, because the mean of its divisors is an integer number (314285440).

Almost surely, 2^72254841600 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 72254841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135771310080).

72254841600 is an abundant number, since it is smaller than the sum of its proper divisors (199287778560).

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

72254841600 is a wasteful number, since it uses less digits than its factorization.

72254841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 72254841600 in words is "seventy-two billion, two hundred fifty-four million, eight hundred forty-one thousand, six hundred".