71867952 has 160 divisors (see below), whose sum is σ = 226652160. Its totient is φ = 21669120.

The previous prime is 71867911. The next prime is 71867969. The reversal of 71867952 is 25976817.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (211680) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 71867898 and 71867907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376177 + ... + 376367.

It is an arithmetic number, because the mean of its divisors is an integer number (1416576).

Almost surely, 2^71867952 is an apocalyptic number.

71867952 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 71867952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113326080).

71867952 is an abundant number, since it is smaller than the sum of its proper divisors (154784208).

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

71867952 is a wasteful number, since it uses less digits than its factorization.

71867952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 71867952 is about 8477.4968003533. The cubic root of 71867952 is about 415.7622840590.

The spelling of 71867952 in words is "seventy-one million, eight hundred sixty-seven thousand, nine hundred fifty-two".