71541144 has 144 divisors (see below), whose sum is σ = 212565600. Its totient is φ = 22534848.

The previous prime is 71541143. The next prime is 71541157. The reversal of 71541144 is 44114517.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71541143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1522129 + ... + 1522175.

It is an arithmetic number, because the mean of its divisors is an integer number (1476150).

Almost surely, 2^71541144 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 71541144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106282800).

71541144 is an abundant number, since it is smaller than the sum of its proper divisors (141024456).

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

71541144 is an equidigital number, since it uses as much as digits as its factorization.

71541144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 71541144 is about 8458.1998084699. The cubic root of 71541144 is about 415.1311222575.

The spelling of 71541144 in words is "seventy-one million, five hundred forty-one thousand, one hundred forty-four".