73632739245120 has 1568 divisors, whose sum is σ = 299812570767360. Its totient is φ = 17042438983680.

The previous prime is 73632739245047. The next prime is 73632739245173. The reversal of 73632739245120 is 2154293723637.

73632739245120 is a `hidden beast` number, since 7 + 3 + 6 + 3 + 273 + 9 + 245 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 49517645017 + ... + 49517646503.

Almost surely, 2^{73632739245120} 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 73632739245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149906285383680).

73632739245120 is an abundant number, since it is smaller than the sum of its proper divisors (226179831522240).

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

73632739245120 is a wasteful number, since it uses less digits than its factorization.

73632739245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 73632739245120 in words is "seventy-three trillion, six hundred thirty-two billion, seven hundred thirty-nine million, two hundred forty-five thousand, one hundred twenty".