71552 has 32 divisors (see below), whose sum is σ = 157080. Its totient is φ = 32256.

The previous prime is 71551. The next prime is 71563. The reversal of 71552 is 25517.

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (350) is a multiple of the sum of its prime factors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71551) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1643 + ... + 1685.

2⁷¹⁵⁵² 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 71552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78540).

71552 is an abundant number, since it is smaller than the sum of its proper divisors (85528).

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

71552 is a wasteful number, since it uses less digits than its factorization.

71552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 58 counting only the distinct ones).

The product of its digits is 350, while the sum is 20.

The square root of 71552 is about 267.4920559568. The cubic root of 71552 is about 41.5152119198.

It can be divided in two parts, 715 and 52, that added together give a palindrome (767).

The spelling of 71552 in words is "seventy-one thousand, five hundred fifty-two".