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62772 = 2235231
BaseRepresentation
bin1111010100110100
310012002220
433110310
54002042
61202340
7351003
oct172464
9105086
1062772
1143186
12303b0
1322758
1418c3a
15138ec
hexf534

62772 has 12 divisors (see below), whose sum is σ = 146496. Its totient is φ = 20920.

The previous prime is 62761. The next prime is 62773. The reversal of 62772 is 27726.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62773) by changing a digit.

62772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2604 + ... + 2627.

It is an arithmetic number, because the mean of its divisors is an integer number (12208).

262772 is an apocalyptic number.

It is an amenable number.

62772 is an abundant number, since it is smaller than the sum of its proper divisors (83724).

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 (73248).

62772 is a wasteful number, since it uses less digits than its factorization.

62772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 5236 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 62772 is about 250.5434094124. The cubic root of 62772 is about 39.7425127308.

The spelling of 62772 in words is "sixty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 5231 10462 15693 20924 31386 62772