75201660 has 72 divisors (see below), whose sum is σ = 235487616. Its totient is φ = 19405440.

The previous prime is 75201631. The next prime is 75201683. The reversal of 75201660 is 6610257.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1159 + ... + 12318.

Almost surely, 2^75201660 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 75201660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117743808).

75201660 is an abundant number, since it is smaller than the sum of its proper divisors (160285956).

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

75201660 is a wasteful number, since it uses less digits than its factorization.

75201660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13523 (or 13518 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 75201660 is about 8671.8890675562. The cubic root of 75201660 is about 422.0939646856.

It can be divided in two parts, 7520 and 1660, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 75201660 in words is "seventy-five million, two hundred one thousand, six hundred sixty".