71427744 has 120 divisors (see below), whose sum is σ = 222561108. Its totient is φ = 22394880.

The previous prime is 71427739. The next prime is 71427749. The reversal of 71427744 is 44772417.

It is an interprime number because it is at equal distance from previous prime (71427739) and next prime (71427749).

It can be written as a sum of positive squares in 2 ways, for example, as 65610000 + 5817744 = 8100^2 + 2412^2 .

It is a super-2 number, since 2×71427744² = 10203845225859072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 71427699 and 71427708.

It is not an unprimeable number, because it can be changed into a prime (71427749) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43254 + ... + 44874.

Almost surely, 2^71427744 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 71427744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111280554).

71427744 is an abundant number, since it is smaller than the sum of its proper divisors (151133364).

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

71427744 is a wasteful number, since it uses less digits than its factorization.

71427744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1643 counting only the distinct ones).

The product of its digits is 43904, while the sum is 36.

The square root of 71427744 is about 8451.4935958090. The cubic root of 71427744 is about 414.9116645585.

The spelling of 71427744 in words is "seventy-one million, four hundred twenty-seven thousand, seven hundred forty-four".