72398255634720 has 960 divisors, whose sum is σ = 269639657312256. Its totient is φ = 18266876559360.

The previous prime is 72398255634707. The next prime is 72398255634821. The reversal of 72398255634720 is 2743655289327.

72398255634720 is a `hidden beast` number, since 7 + 2 + 3 + 9 + 8 + 2 + 5 + 563 + 47 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30457826172 + ... + 30457828548.

Almost surely, 2^{72398255634720} 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 72398255634720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134819828656128).

72398255634720 is an abundant number, since it is smaller than the sum of its proper divisors (197241401677536).

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

72398255634720 is a wasteful number, since it uses less digits than its factorization.

72398255634720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 72398255634720 in words is "seventy-two trillion, three hundred ninety-eight billion, two hundred fifty-five million, six hundred thirty-four thousand, seven hundred twenty".