73923432510720 has 576 divisors, whose sum is σ = 267479635449600. Its totient is φ = 17271269621760.

The previous prime is 73923432510709. The next prime is 73923432510727. The reversal of 73923432510720 is 2701523432937.

73923432510720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 73923432510720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73923432510727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84980380 + ... + 85845860.

It is an arithmetic number, because the mean of its divisors is an integer number (464374367100).

Almost surely, 2^{73923432510720} 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 73923432510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133739817724800).

73923432510720 is an abundant number, since it is smaller than the sum of its proper divisors (193556202938880).

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

73923432510720 is a wasteful number, since it uses less digits than its factorization.

73923432510720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865606 (or 865592 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The spelling of 73923432510720 in words is "seventy-three trillion, nine hundred twenty-three billion, four hundred thirty-two million, five hundred ten thousand, seven hundred twenty".