71851464 has 96 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 22239360.

The previous prime is 71851453. The next prime is 71851513. The reversal of 71851464 is 46415817.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72009 + ... + 72999.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 2^71851464 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 71851464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

71851464 is an abundant number, since it is smaller than the sum of its proper divisors (137063736).

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

71851464 is a wasteful number, since it uses less digits than its factorization.

71851464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1068 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 71851464 is about 8476.5242877019. The cubic root of 71851464 is about 415.7304867945.

It can be divided in two parts, 7185 and 1464, that added together give a square (8649 = 93²).

The spelling of 71851464 in words is "seventy-one million, eight hundred fifty-one thousand, four hundred sixty-four".