71753352 has 64 divisors (see below), whose sum is σ = 196853760. Its totient is φ = 21614400.

The previous prime is 71753351. The next prime is 71753359. The reversal of 71753352 is 25335717.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (71753351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49713 + ... + 51135.

It is an arithmetic number, because the mean of its divisors is an integer number (3075840).

Almost surely, 2^71753352 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 71753352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98426880).

71753352 is an abundant number, since it is smaller than the sum of its proper divisors (125100408).

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

71753352 is a wasteful number, since it uses less digits than its factorization.

71753352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1630 counting only the distinct ones).

The product of its digits is 22050, while the sum is 33.

The square root of 71753352 is about 8470.7350330417. The cubic root of 71753352 is about 415.5411762060.

The spelling of 71753352 in words is "seventy-one million, seven hundred fifty-three thousand, three hundred fifty-two".