71247672 has 96 divisors (see below), whose sum is σ = 201502080. Its totient is φ = 22717440.

The previous prime is 71247653. The next prime is 71247707. The reversal of 71247672 is 27674217.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305668 + ... + 305900.

It is an arithmetic number, because the mean of its divisors is an integer number (2098980).

Almost surely, 2^71247672 is an apocalyptic number.

71247672 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 71247672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100751040).

71247672 is an abundant number, since it is smaller than the sum of its proper divisors (130254408).

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

71247672 is a wasteful number, since it uses less digits than its factorization.

71247672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

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

The square root of 71247672 is about 8440.8336081219. The cubic root of 71247672 is about 414.5627018972.

It can be divided in two parts, 712 and 47672, that added together give a palindrome (48384).

The spelling of 71247672 in words is "seventy-one million, two hundred forty-seven thousand, six hundred seventy-two".