72723016570380 has 384 divisors, whose sum is σ = 236332463947776. Its totient is φ = 16513254912000.

The previous prime is 72723016570289. The next prime is 72723016570381. The reversal of 72723016570380 is 8307561032727.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (72723016570381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1989613105 + ... + 1989649655.

It is an arithmetic number, because the mean of its divisors is an integer number (615449124864).

Almost surely, 2^{72723016570380} 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 72723016570380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118166231973888).

72723016570380 is an abundant number, since it is smaller than the sum of its proper divisors (163609447377396).

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

72723016570380 is a wasteful number, since it uses less digits than its factorization.

72723016570380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37437 (or 37435 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 72723016570380 in words is "seventy-two trillion, seven hundred twenty-three billion, sixteen million, five hundred seventy thousand, three hundred eighty".