71432172 has 96 divisors (see below), whose sum is σ = 222835200. Its totient is φ = 19331136.

The previous prime is 71432131. The next prime is 71432173. The reversal of 71432172 is 27123417.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (71432173) 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, 11878 + ... + 16850.

It is an arithmetic number, because the mean of its divisors is an integer number (2321200).

Almost surely, 2^71432172 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 71432172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111417600).

71432172 is an abundant number, since it is smaller than the sum of its proper divisors (151403028).

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

71432172 is a wasteful number, since it uses less digits than its factorization.

71432172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 5004 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 71432172 is about 8451.7555572792. The cubic root of 71432172 is about 414.9202382153.

Adding to 71432172 its reverse (27123417), we get a palindrome (98555589).

The spelling of 71432172 in words is "seventy-one million, four hundred thirty-two thousand, one hundred seventy-two".