73058025600 has 768 divisors, whose sum is σ = 308560608000. Its totient is φ = 16535715840.

The previous prime is 73058025553. The next prime is 73058025641. The reversal of 73058025600 is 652085037.

73058025600 is a `hidden beast` number, since 73 + 0 + 580 + 2 + 5 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 68341866 + ... + 68342934.

It is an arithmetic number, because the mean of its divisors is an integer number (401771625).

Almost surely, 2^73058025600 is an apocalyptic number.

73058025600 is a gapful number since it is divisible by the number (70) 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 73058025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154280304000).

73058025600 is an abundant number, since it is smaller than the sum of its proper divisors (235502582400).

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

73058025600 is a wasteful number, since it uses less digits than its factorization.

73058025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 73058025600 in words is "seventy-three billion, fifty-eight million, twenty-five thousand, six hundred".