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76272 = 2437227
BaseRepresentation
bin10010100111110000
310212121220
4102213300
54420042
61345040
7435240
oct224760
9125556
1076272
1152339
1238180
1328941
141db20
15178ec
hex129f0

76272 has 40 divisors (see below), whose sum is σ = 226176. Its totient is φ = 21696.

The previous prime is 76261. The next prime is 76283. The reversal of 76272 is 27267.

It is an interprime number because it is at equal distance from previous prime (76261) and next prime (76283).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

76272 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 7 ways as a sum of consecutive naturals, for example, 223 + ... + 449.

276272 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 76272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113088).

76272 is an abundant number, since it is smaller than the sum of its proper divisors (149904).

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

76272 is a wasteful number, since it uses less digits than its factorization.

76272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

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

The square root of 76272 is about 276.1738582850. The cubic root of 76272 is about 42.4087083098.

The spelling of 76272 in words is "seventy-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 227 336 454 681 908 1362 1589 1816 2724 3178 3632 4767 5448 6356 9534 10896 12712 19068 25424 38136 76272