71272872 has 168 divisors, whose sum is σ = 222414570. Its totient is φ = 21384000.

The previous prime is 71272867. The next prime is 71272879. The reversal of 71272872 is 27827217.

It can be written as a sum of positive squares in only one way, i.e., 42693156 + 28579716 = 6534^2 + 5346^2 .

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

It is not an unprimeable number, because it can be changed into a prime (71272879) 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 41 ways as a sum of consecutive naturals, for example, 705622 + ... + 705722.

Almost surely, 2^71272872 is an apocalyptic number.

71272872 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 71272872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111207285).

71272872 is an abundant number, since it is smaller than the sum of its proper divisors (151141698).

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

71272872 is a wasteful number, since it uses less digits than its factorization.

71272872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

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

The square root of 71272872 is about 8442.3262197098. The cubic root of 71272872 is about 414.6115724935.

It can be divided in two parts, 7127 and 2872, that added together give a palindrome (9999).

The spelling of 71272872 in words is "seventy-one million, two hundred seventy-two thousand, eight hundred seventy-two".