71811488 has 96 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 28456704.

The previous prime is 71811473. The next prime is 71811491. The reversal of 71811488 is 88411817.

It is a Harshad number since it is a multiple of its sum of digits (38).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199853 + ... + 200211.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^71811488 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 71811488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

71811488 is an abundant number, since it is smaller than the sum of its proper divisors (102370912).

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

71811488 is a wasteful number, since it uses less digits than its factorization.

71811488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its digits is 14336, while the sum is 38.

The square root of 71811488 is about 8474.1659176582. The cubic root of 71811488 is about 415.6533724992.

It can be divided in two parts, 718 and 11488, that multiplied together give a square (8248384 = 2872²).

The spelling of 71811488 in words is "seventy-one million, eight hundred eleven thousand, four hundred eighty-eight".