71287944 has 96 divisors (see below), whose sum is σ = 223312320. Its totient is φ = 18797184.

The previous prime is 71287927. The next prime is 71287949. The reversal of 71287944 is 44978217.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 71287896 and 71287905.

It is not an unprimeable number, because it can be changed into a prime (71287949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12957 + ... + 17619.

It is an arithmetic number, because the mean of its divisors is an integer number (2326170).

Almost surely, 2^71287944 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 71287944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111656160).

71287944 is an abundant number, since it is smaller than the sum of its proper divisors (152024376).

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

71287944 is a wasteful number, since it uses less digits than its factorization.

71287944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4688 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 71287944 is about 8443.2188174890. The cubic root of 71287944 is about 414.6407962594.

The spelling of 71287944 in words is "seventy-one million, two hundred eighty-seven thousand, nine hundred forty-four".