75601 has 8 divisors (see below), whose sum is σ = 83520. Its totient is φ = 68112.

The previous prime is 75583. The next prime is 75611. The reversal of 75601 is 10657.

75601 = T₂₂₃ + T₂₂₄ + T₂₂₅.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 75601 - 2¹¹ = 73553 is a prime.

It is a super-2 number, since 2×75601² = 11431022402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (10440).

2⁷⁵⁶⁰¹ is an apocalyptic number.

75601 is the 225-th centered triangular number.

It is an amenable number.

75601 is a deficient number, since it is larger than the sum of its proper divisors (7919).

75601 is a wasteful number, since it uses less digits than its factorization.

75601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 75601 is about 274.9563601738. The cubic root of 75601 is about 42.2839788280.

It can be divided in two parts, 75 and 601, that added together give a palindrome (676).

The spelling of 75601 in words is "seventy-five thousand, six hundred one".