71875752 has 64 divisors (see below), whose sum is σ = 195410880. Its totient is φ = 21898752.

The previous prime is 71875729. The next prime is 71875753. The reversal of 71875752 is 25757817.

It is a super-2 number, since 2×71875752² = 10332247451131008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71875753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32308 + ... + 34460.

It is an arithmetic number, because the mean of its divisors is an integer number (3053295).

Almost surely, 2^71875752 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 71875752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97705440).

71875752 is an abundant number, since it is smaller than the sum of its proper divisors (123535128).

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

71875752 is a wasteful number, since it uses less digits than its factorization.

71875752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2278 counting only the distinct ones).

The product of its digits is 137200, while the sum is 42.

The square root of 71875752 is about 8477.9568293310. The cubic root of 71875752 is about 415.7773247386. Note that the first 3 decimals are identical.

It can be divided in two parts, 71875 and 752, that added together give a palindrome (72627).

The spelling of 71875752 in words is "seventy-one million, eight hundred seventy-five thousand, seven hundred fifty-two".