71575920 has 160 divisors (see below), whose sum is σ = 265608000. Its totient is φ = 17611776.

The previous prime is 71575919. The next prime is 71575927. The reversal of 71575920 is 2957517.

It is a super-2 number, since 2×71575920² = 10246224647692800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71575927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26806 + ... + 29354.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 2^71575920 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 71575920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132804000).

71575920 is an abundant number, since it is smaller than the sum of its proper divisors (194032080).

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

71575920 is a wasteful number, since it uses less digits than its factorization.

71575920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 71575920 is about 8460.2553152963. The cubic root of 71575920 is about 415.1983761506.

The spelling of 71575920 in words is "seventy-one million, five hundred seventy-five thousand, nine hundred twenty".