71521632 has 144 divisors (see below), whose sum is σ = 250417440. Its totient is φ = 18855936.

The previous prime is 71521621. The next prime is 71521649. The reversal of 71521632 is 23612517.

It is a happy number.

71521632 is a `hidden beast` number, since 7 + 1 + 5 + 21 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 71521596 and 71521605.

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, 24844 + ... + 27572.

It is an arithmetic number, because the mean of its divisors is an integer number (1739010).

Almost surely, 2^71521632 is an apocalyptic number.

71521632 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 71521632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125208720).

71521632 is an abundant number, since it is smaller than the sum of its proper divisors (178895808).

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

71521632 is a wasteful number, since it uses less digits than its factorization.

71521632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2754 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 71521632 is about 8457.0462928850. The cubic root of 71521632 is about 415.0933781264.

The spelling of 71521632 in words is "seventy-one million, five hundred twenty-one thousand, six hundred thirty-two".