72425867796480 has 2688 divisors, whose sum is σ = 281637453081600. Its totient is φ = 15826723799040.

The previous prime is 72425867796437. The next prime is 72425867796481. The reversal of 72425867796480 is 8469776852427.

It is a super-3 number, since 3×72425867796480³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72425867796481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 664457502666 + ... + 664457502774.

It is an arithmetic number, because the mean of its divisors is an integer number (104775838200).

Almost surely, 2^{72425867796480} 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 72425867796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140818726540800).

72425867796480 is an abundant number, since it is smaller than the sum of its proper divisors (209211585285120).

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

72425867796480 is a wasteful number, since it uses less digits than its factorization.

72425867796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2275983360, while the sum is 75.

The spelling of 72425867796480 in words is "seventy-two trillion, four hundred twenty-five billion, eight hundred sixty-seven million, seven hundred ninety-six thousand, four hundred eighty".