71805672 has 96 divisors (see below), whose sum is σ = 204871680. Its totient is φ = 22688640.

The previous prime is 71805659. The next prime is 71805683. The reversal of 71805672 is 27650817.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117993 + ... + 118599.

It is an arithmetic number, because the mean of its divisors is an integer number (2134080).

Almost surely, 2^71805672 is an apocalyptic number.

71805672 is a gapful number since it is divisible by the number (72) 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 71805672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102435840).

71805672 is an abundant number, since it is smaller than the sum of its proper divisors (133066008).

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

71805672 is a wasteful number, since it uses less digits than its factorization.

71805672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 71805672 is about 8473.8227500934. The cubic root of 71805672 is about 415.6421509647.

The spelling of 71805672 in words is "seventy-one million, eight hundred five thousand, six hundred seventy-two".