71722872 has 192 divisors, whose sum is σ = 228228000. Its totient is φ = 20155392.

The previous prime is 71722843. The next prime is 71722877. The reversal of 71722872 is 27822717.

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

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71722877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657954 + ... + 658062.

Almost surely, 2^71722872 is an apocalyptic number.

71722872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71722872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114114000).

71722872 is an abundant number, since it is smaller than the sum of its proper divisors (156505128).

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

71722872 is a wasteful number, since it uses less digits than its factorization.

71722872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 71722872 is about 8468.9357064510. The cubic root of 71722872 is about 415.4823288327.

The spelling of 71722872 in words is "seventy-one million, seven hundred twenty-two thousand, eight hundred seventy-two".