71845952 has 56 divisors (see below), whose sum is σ = 148132800. Its totient is φ = 34551296.

The previous prime is 71845937. The next prime is 71845993. The reversal of 71845952 is 25954817.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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, 199949 + ... + 200307.

Almost surely, 2^71845952 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 71845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74066400).

71845952 is an abundant number, since it is smaller than the sum of its proper divisors (76286848).

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

71845952 is a wasteful number, since it uses less digits than its factorization.

71845952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its digits is 100800, while the sum is 41.

The square root of 71845952 is about 8476.1991482032. The cubic root of 71845952 is about 415.7198557653.

It can be divided in two parts, 718 and 45952, that multiplied together give a square (32993536 = 5744²).

The spelling of 71845952 in words is "seventy-one million, eight hundred forty-five thousand, nine hundred fifty-two".