75329716 has 48 divisors (see below), whose sum is σ = 165699072. Its totient is φ = 29109600.

The previous prime is 75329713. The next prime is 75329759. The reversal of 75329716 is 61792357.

It is a super-3 number, since 3×75329716³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75329713) 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, 39415 + ... + 41281.

It is an arithmetic number, because the mean of its divisors is an integer number (3452064).

Almost surely, 2^75329716 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 75329716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82849536).

75329716 is an abundant number, since it is smaller than the sum of its proper divisors (90369356).

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

75329716 is a wasteful number, since it uses less digits than its factorization.

75329716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2018 counting only the distinct ones).

The product of its digits is 79380, while the sum is 40.

The square root of 75329716 is about 8679.2693240848. The cubic root of 75329716 is about 422.3334142464. Note that the first 3 decimals are identical.

The spelling of 75329716 in words is "seventy-five million, three hundred twenty-nine thousand, seven hundred sixteen".