71752788 has 72 divisors (see below), whose sum is σ = 187537896. Its totient is φ = 23116800.

The previous prime is 71752783. The next prime is 71752823. The reversal of 71752788 is 88725717.

It can be written as a sum of positive squares in 4 ways, for example, as 13046544 + 58706244 = 3612^2 + 7662^2 .

It is a super-3 number, since 3×71752788³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71752783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255208 + ... + 255488.

It is an arithmetic number, because the mean of its divisors is an integer number (2604693).

Almost surely, 2^71752788 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 71752788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93768948).

71752788 is an abundant number, since it is smaller than the sum of its proper divisors (115785108).

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

71752788 is a wasteful number, since it uses less digits than its factorization.

71752788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 500 counting only the distinct ones).

The product of its digits is 219520, while the sum is 45.

The square root of 71752788 is about 8470.7017418866. The cubic root of 71752788 is about 415.5400874493.

The spelling of 71752788 in words is "seventy-one million, seven hundred fifty-two thousand, seven hundred eighty-eight".