71747144 has 64 divisors (see below), whose sum is σ = 163138560. Its totient is φ = 28926720.

The previous prime is 71747141. The next prime is 71747147. The reversal of 71747144 is 44174717.

It is an interprime number because it is at equal distance from previous prime (71747141) and next prime (71747147).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (71747141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63674 + ... + 64790.

It is an arithmetic number, because the mean of its divisors is an integer number (2549040).

Almost surely, 2^71747144 is an apocalyptic number.

71747144 is a gapful number since it is divisible by the number (74) 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 71747144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81569280).

71747144 is an abundant number, since it is smaller than the sum of its proper divisors (91391416).

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

71747144 is a wasteful number, since it uses less digits than its factorization.

71747144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1194 counting only the distinct ones).

The product of its digits is 21952, while the sum is 35.

The square root of 71747144 is about 8470.3685870215. The cubic root of 71747144 is about 415.5291918460.

The spelling of 71747144 in words is "seventy-one million, seven hundred forty-seven thousand, one hundred forty-four".