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74172 = 2237883
BaseRepresentation
bin10010000110111100
310202202010
4102012330
54333142
61331220
7426150
oct220674
9122663
1074172
11507aa
1236b10
13279b7
141d060
1516e9c
hex121bc

74172 has 24 divisors (see below), whose sum is σ = 198016. Its totient is φ = 21168.

The previous prime is 74167. The next prime is 74177. The reversal of 74172 is 27147.

It is an interprime number because it is at equal distance from previous prime (74167) and next prime (74177).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

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 74172.

It is not an unprimeable number, because it can be changed into a prime (74177) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358 + ... + 525.

274172 is an apocalyptic number.

It is an amenable number.

74172 is an abundant number, since it is smaller than the sum of its proper divisors (123844).

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 (99008).

74172 is a wasteful number, since it uses less digits than its factorization.

74172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 895 counting only the distinct ones).

The product of its digits is 392, while the sum is 21.

The square root of 74172 is about 272.3453689711. The cubic root of 74172 is about 42.0158670208.

The spelling of 74172 in words is "seventy-four thousand, one hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 883 1766 2649 3532 5298 6181 10596 12362 18543 24724 37086 74172