72258346598400 has 1440 divisors, whose sum is σ = 288487168972800. Its totient is φ = 17664285081600.

The previous prime is 72258346598377. The next prime is 72258346598411. The reversal of 72258346598400 is 489564385227.

72258346598400 is a `hidden beast` number, since 7 + 2 + 2 + 5 + 8 + 34 + 6 + 598 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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, 6513863254 + ... + 6513874346.

Almost surely, 2^{72258346598400} 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 72258346598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144243584486400).

72258346598400 is an abundant number, since it is smaller than the sum of its proper divisors (216228822374400).

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

72258346598400 is a wasteful number, since it uses less digits than its factorization.

72258346598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11190 (or 11153 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 72258346598400 in words is "seventy-two trillion, two hundred fifty-eight billion, three hundred forty-six million, five hundred ninety-eight thousand, four hundred".