73152505756000 has 192 divisors, whose sum is σ = 196155344286720. Its totient is φ = 26590054080000.

The previous prime is 73152505755991. The next prime is 73152505756003. The reversal of 73152505756000 is 65750525137.

It is a super-2 number, since 2×73152505756000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73152505756003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107857945 + ... + 108534055.

It is an arithmetic number, because the mean of its divisors is an integer number (1021642418160).

Almost surely, 2^{73152505756000} 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 73152505756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98077672143360).

73152505756000 is an abundant number, since it is smaller than the sum of its proper divisors (123002838530720).

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

73152505756000 is a wasteful number, since it uses less digits than its factorization.

73152505756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678606 (or 678588 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 46.

The spelling of 73152505756000 in words is "seventy-three trillion, one hundred fifty-two billion, five hundred five million, seven hundred fifty-six thousand".