71632 has 30 divisors (see below), whose sum is σ = 156674. Its totient is φ = 31680.

The previous prime is 71597. The next prime is 71633. The reversal of 71632 is 23617.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 1936 = 264^2 + 44^2 .

It is a super-2 number, since 2×71632² = 10262286848, which contains 22 as substring.

It is a pancake number, because a pancake can be divided into 71632 parts by 378 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71633) by changing a digit.

71632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1918 + ... + 1954.

2⁷¹⁶³² 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 71632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78337).

71632 is an abundant number, since it is smaller than the sum of its proper divisors (85042).

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

71632 is a wasteful number, since it uses less digits than its factorization.

71632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 50 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 71632 is about 267.6415513331. The cubic root of 71632 is about 41.5306784334.

It can be divided in two parts, 71 and 632, that added together give a triangular number (703 = T₃₇).

The spelling of 71632 in words is "seventy-one thousand, six hundred thirty-two".