72471168 has 384 divisors, whose sum is σ = 280051200. Its totient is φ = 17418240.

The previous prime is 72471167. The next prime is 72471181. The reversal of 72471168 is 86117427.

It is a Cunningham number, because it is equal to 8513²-1.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72471167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1685355 + ... + 1685397.

It is an arithmetic number, because the mean of its divisors is an integer number (729300).

Almost surely, 2^72471168 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 72471168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140025600).

72471168 is an abundant number, since it is smaller than the sum of its proper divisors (207580032).

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

72471168 is a wasteful number, since it uses less digits than its factorization.

72471168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 72471168 is about 8512.9999412663. Note that the first 4 decimals coincide. The cubic root of 72471168 is about 416.9222635143.

The spelling of 72471168 in words is "seventy-two million, four hundred seventy-one thousand, one hundred sixty-eight".