71825472 has 84 divisors (see below), whose sum is σ = 216743280. Its totient is φ = 22678272.

The previous prime is 71825449. The next prime is 71825477. The reversal of 71825472 is 27452817.

71825472 is a `hidden beast` number, since 7 + 182 + 5 + 472 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (71825477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7663 + ... + 14225.

Almost surely, 2^71825472 is an apocalyptic number.

71825472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71825472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108371640).

71825472 is an abundant number, since it is smaller than the sum of its proper divisors (144917808).

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

71825472 is a wasteful number, since it uses less digits than its factorization.

71825472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600 (or 6587 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 71825472 is about 8474.9909734465. The cubic root of 71825472 is about 415.6803510959.

The spelling of 71825472 in words is "seventy-one million, eight hundred twenty-five thousand, four hundred seventy-two".