71652 has 24 divisors (see below), whose sum is σ = 191296. Its totient is φ = 20448.

The previous prime is 71647. The next prime is 71663. The reversal of 71652 is 25617.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343 + ... + 510.

2⁷¹⁶⁵² is an apocalyptic number.

It is an amenable number.

71652 is an abundant number, since it is smaller than the sum of its proper divisors (119644).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95648).

71652 is a wasteful number, since it uses less digits than its factorization.

71652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 865 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 71652 is about 267.6789121317. The cubic root of 71652 is about 41.5345432624.

Subtracting from 71652 its sum of digits (21), we obtain a triangular number (71631 = T₃₇₈).

The spelling of 71652 in words is "seventy-one thousand, six hundred fifty-two".