72943055680 has 112 divisors (see below), whose sum is σ = 190583051904. Its totient is φ = 26371205120.

The previous prime is 72943055599. The next prime is 72943055681. The reversal of 72943055680 is 8655034927.

It is a super-3 number, since 3×72943055680³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72943055681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549069 + ... + 668851.

It is an arithmetic number, because the mean of its divisors is an integer number (1701634392).

Almost surely, 2^72943055680 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 72943055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95291525952).

72943055680 is an abundant number, since it is smaller than the sum of its proper divisors (117639996224).

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

72943055680 is a wasteful number, since it uses less digits than its factorization.

72943055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119984 (or 119974 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

The spelling of 72943055680 in words is "seventy-two billion, nine hundred forty-three million, fifty-five thousand, six hundred eighty".