71948744 has 48 divisors (see below), whose sum is σ = 162763200. Its totient is φ = 29204064.

The previous prime is 71948729. The next prime is 71948749. The reversal of 71948744 is 44784917.

It is a junction number, because it is equal to n+sod(n) for n = 71948695 and 71948704.

It is not an unprimeable number, because it can be changed into a prime (71948749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18437 + ... + 21995.

It is an arithmetic number, because the mean of its divisors is an integer number (3390900).

Almost surely, 2^71948744 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 71948744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81381600).

71948744 is an abundant number, since it is smaller than the sum of its proper divisors (90814456).

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

71948744 is a wasteful number, since it uses less digits than its factorization.

71948744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3587 counting only the distinct ones).

The product of its digits is 225792, while the sum is 44.

The square root of 71948744 is about 8482.2605477549. The cubic root of 71948744 is about 415.9180219380.

The spelling of 71948744 in words is "seventy-one million, nine hundred forty-eight thousand, seven hundred forty-four".