75572 has 12 divisors (see below), whose sum is σ = 151200. Its totient is φ = 32376.
The previous prime is 75571. The next prime is 75577. The reversal of 75572 is 27557.
75572 is an admirable number.
It is a super-2 number, since 2×755722 = 11422254368, which contains 22 as substring.
It is a plaindrome in base 9.
It is a nialpdrome in base 7.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75572.
It is not an unprimeable number, because it can be changed into a prime (75571) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1322 + ... + 1377.
It is an arithmetic number, because the mean of its divisors is an integer number (12600).
275572 is an apocalyptic number.
It is an amenable number.
75572 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).
75572 is a wasteful number, since it uses less digits than its factorization.
75572 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2710 (or 2708 counting only the distinct ones).
The product of its digits is 2450, while the sum is 26.
The square root of 75572 is about 274.9036194742. The cubic root of 75572 is about 42.2785715265.
The spelling of 75572 in words is "seventy-five thousand, five hundred seventy-two".
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