72125084873968 has 160 divisors (see below), whose sum is σ = 164212346880000. Its totient is φ = 30674941000704.

The previous prime is 72125084873903. The next prime is 72125084873969. The reversal of 72125084873968 is 86937848052127.

It is a junction number, because it is equal to n+sod(n) for n = 72125084873897 and 72125084873906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72125084873969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418192680 + ... + 418365112.

It is an arithmetic number, because the mean of its divisors is an integer number (1026327168000).

It is a 1-persistent number, because it is pandigital, but 2⋅72125084873968 = 144250169747936 is not.

Almost surely, 2^{72125084873968} 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 72125084873968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82106173440000).

72125084873968 is an abundant number, since it is smaller than the sum of its proper divisors (92087262006032).

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

72125084873968 is a wasteful number, since it uses less digits than its factorization.

72125084873968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173044 (or 173024 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 70.

The spelling of 72125084873968 in words is "seventy-two trillion, one hundred twenty-five billion, eighty-four million, eight hundred seventy-three thousand, nine hundred sixty-eight".