71434272 has 288 divisors, whose sum is σ = 252346752. Its totient is φ = 17252352.

The previous prime is 71434267. The next prime is 71434273. The reversal of 71434272 is 27243417.

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 (71434273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930638 + ... + 1930674.

It is an arithmetic number, because the mean of its divisors is an integer number (876204).

Almost surely, 2^71434272 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 71434272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126173376).

71434272 is an abundant number, since it is smaller than the sum of its proper divisors (180912480).

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

71434272 is a wasteful number, since it uses less digits than its factorization.

71434272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 71434272 is about 8451.8797909104. The cubic root of 71434272 is about 414.9243041888.

Adding to 71434272 its reverse (27243417), we get a palindrome (98677689).

The spelling of 71434272 in words is "seventy-one million, four hundred thirty-four thousand, two hundred seventy-two".