71365952 has 56 divisors (see below), whose sum is σ = 165201600. Its totient is φ = 30576000.

The previous prime is 71365951. The next prime is 71365961. The reversal of 71365952 is 25956317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71365951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20327 + ... + 23577.

Almost surely, 2^71365952 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 71365952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82600800).

71365952 is an abundant number, since it is smaller than the sum of its proper divisors (93835648).

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

71365952 is an equidigital number, since it uses as much as digits as its factorization.

71365952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3260 counting only the distinct ones).

The product of its digits is 56700, while the sum is 38.

The square root of 71365952 is about 8447.8371196419. The cubic root of 71365952 is about 414.7919836199.

The spelling of 71365952 in words is "seventy-one million, three hundred sixty-five thousand, nine hundred fifty-two".