71752096 has 48 divisors (see below), whose sum is σ = 153161064. Its totient is φ = 32891904.

The previous prime is 71752081. The next prime is 71752123. The reversal of 71752096 is 69025717.

It can be written as a sum of positive squares in 4 ways, for example, as 70224400 + 1527696 = 8380^2 + 1236^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 71470 + ... + 72466.

Almost surely, 2^71752096 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 71752096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76580532).

71752096 is an abundant number, since it is smaller than the sum of its proper divisors (81408968).

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

71752096 is a wasteful number, since it uses less digits than its factorization.

71752096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 71752096 is about 8470.6608951132. The cubic root of 71752096 is about 415.5387515910.

The spelling of 71752096 in words is "seventy-one million, seven hundred fifty-two thousand, ninety-six".