71232120 has 96 divisors (see below), whose sum is σ = 239522400. Its totient is φ = 18337536.

The previous prime is 71232101. The next prime is 71232137. The reversal of 71232120 is 2123217.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 71232093 and 71232102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7029 + ... + 13851.

It is an arithmetic number, because the mean of its divisors is an integer number (2495025).

Almost surely, 2^71232120 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 71232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119761200).

71232120 is an abundant number, since it is smaller than the sum of its proper divisors (168290280).

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

71232120 is a wasteful number, since it uses less digits than its factorization.

71232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6869 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 71232120 is about 8439.9123218195. The cubic root of 71232120 is about 414.5325360072.

Adding to 71232120 its reverse (2123217), we get a palindrome (73355337).

The spelling of 71232120 in words is "seventy-one million, two hundred thirty-two thousand, one hundred twenty".