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77272 = 2313743
BaseRepresentation
bin10010110111011000
310220222221
4102313120
54433042
61353424
7441166
oct226730
9126887
1077272
1153068
1238874
1329230
1420236
1517d67
hex12dd8

77272 has 16 divisors (see below), whose sum is σ = 156240. Its totient is φ = 35616.

The previous prime is 77269. The next prime is 77279. The reversal of 77272 is 27277.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77279) 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, 268 + ... + 475.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

277272 is an apocalyptic number.

It is an amenable number.

77272 is an abundant number, since it is smaller than the sum of its proper divisors (78968).

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 (78120).

77272 is a wasteful number, since it uses less digits than its factorization.

77272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 758 counting only the distinct ones).

The product of its digits is 1372, while the sum is 25.

The square root of 77272 is about 277.9784164283. The cubic root of 77272 is about 42.5932439491.

The spelling of 77272 in words is "seventy-seven thousand, two hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 4 8 13 26 52 104 743 1486 2972 5944 9659 19318 38636 77272