71952 has 20 divisors (see below), whose sum is σ = 186000. Its totient is φ = 23968.

The previous prime is 71947. The next prime is 71963. The reversal of 71952 is 25917.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 702 + ... + 797.

It is an arithmetic number, because the mean of its divisors is an integer number (9300).

2⁷¹⁹⁵² is an apocalyptic number.

It is an amenable number.

71952 is an abundant number, since it is smaller than the sum of its proper divisors (114048).

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 (93000).

71952 is a wasteful number, since it uses less digits than its factorization.

71952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1504 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 71952 is about 268.2386996688. The cubic root of 71952 is about 41.5924295889.

The spelling of 71952 in words is "seventy-one thousand, nine hundred fifty-two".