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74772 = 22323167
BaseRepresentation
bin10010010000010100
310210120100
4102100110
54343042
61334100
7430665
oct222024
9123510
1074772
11511a5
1237330
1328059
141d36c
151724c
hex12414

74772 has 36 divisors (see below), whose sum is σ = 198016. Its totient is φ = 23760.

The previous prime is 74771. The next prime is 74779. The reversal of 74772 is 27747.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) 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 (74771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1083 + ... + 1149.

274772 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 74772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99008).

74772 is an abundant number, since it is smaller than the sum of its proper divisors (123244).

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

74772 is a wasteful number, since it uses less digits than its factorization.

74772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 103 counting only the distinct ones).

The product of its digits is 2744, while the sum is 27.

The square root of 74772 is about 273.4446927625. Note that the first 3 decimals coincide. The cubic root of 74772 is about 42.1288559664.

The spelling of 74772 in words is "seventy-four thousand, seven hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 31 36 62 67 93 124 134 186 201 268 279 372 402 558 603 804 1116 1206 2077 2412 4154 6231 8308 12462 18693 24924 37386 74772