71053632 has 112 divisors (see below), whose sum is σ = 225023680. Its totient is φ = 21855744.

The previous prime is 71053621. The next prime is 71053637. The reversal of 71053632 is 23635017.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 71053596 and 71053605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71053637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20883 + ... + 24045.

It is an arithmetic number, because the mean of its divisors is an integer number (2009140).

Almost surely, 2^71053632 is an apocalyptic number.

71053632 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 71053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112511840).

71053632 is an abundant number, since it is smaller than the sum of its proper divisors (153970048).

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

71053632 is a wasteful number, since it uses less digits than its factorization.

71053632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 71053632 is about 8429.3316461034. The cubic root of 71053632 is about 414.1860117698.

Adding to 71053632 its reverse (23635017), we get a palindrome (94688649).

The spelling of 71053632 in words is "seventy-one million, fifty-three thousand, six hundred thirty-two".