71267472 has 80 divisors (see below), whose sum is σ = 205840000. Its totient is φ = 23607936.

The previous prime is 71267453. The next prime is 71267473. The reversal of 71267472 is 27476217.

It is a happy number.

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 (71267473) 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 15 ways as a sum of consecutive naturals, for example, 85554 + ... + 86382.

It is an arithmetic number, because the mean of its divisors is an integer number (2573000).

Almost surely, 2^71267472 is an apocalyptic number.

71267472 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 71267472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102920000).

71267472 is an abundant number, since it is smaller than the sum of its proper divisors (134572528).

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

71267472 is a wasteful number, since it uses less digits than its factorization.

71267472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1033 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 71267472 is about 8442.0063965861. The cubic root of 71267472 is about 414.6011011927.

The spelling of 71267472 in words is "seventy-one million, two hundred sixty-seven thousand, four hundred seventy-two".