71795672 has 32 divisors (see below), whose sum is σ = 146059200. Its totient is φ = 32888064.

The previous prime is 71795671. The next prime is 71795701. The reversal of 71795672 is 27659717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71795671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11729 + ... + 16767.

It is an arithmetic number, because the mean of its divisors is an integer number (4564350).

Almost surely, 2^71795672 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 71795672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73029600).

71795672 is an abundant number, since it is smaller than the sum of its proper divisors (74263528).

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

71795672 is a wasteful number, since it uses less digits than its factorization.

71795672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195 (or 5191 counting only the distinct ones).

The product of its digits is 185220, while the sum is 44.

The square root of 71795672 is about 8473.2326770838. The cubic root of 71795672 is about 415.6228553001.

The spelling of 71795672 in words is "seventy-one million, seven hundred ninety-five thousand, six hundred seventy-two".