72001743210 has 96 divisors (see below), whose sum is σ = 194225129280. Its totient is φ = 19191852288.

The previous prime is 72001743167. The next prime is 72001743241. The reversal of 72001743210 is 1234710027.

It is a happy number.

72001743210 is a `hidden beast` number, since 7 + 200 + 17 + 432 + 10 = 666.

It is a super-3 number, since 3×72001743210³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6878961 + ... + 6889419.

It is an arithmetic number, because the mean of its divisors is an integer number (2023178430).

Almost surely, 2^72001743210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72001743210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97112564640).

72001743210 is an abundant number, since it is smaller than the sum of its proper divisors (122223386070).

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

72001743210 is a wasteful number, since it uses less digits than its factorization.

72001743210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13314 (or 13302 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 72001743210 in words is "seventy-two billion, one million, seven hundred forty-three thousand, two hundred ten".