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74472 = 23329107
BaseRepresentation
bin10010001011101000
310210011020
4102023220
54340342
61332440
7430056
oct221350
9123136
1074472
1150a52
1237120
1327b88
141d1d6
15170ec
hex122e8

74472 has 32 divisors (see below), whose sum is σ = 194400. Its totient is φ = 23744.

The previous prime is 74471. The next prime is 74489. The reversal of 74472 is 27447.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

274472 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 74472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200).

74472 is an abundant number, since it is smaller than the sum of its proper divisors (119928).

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

74472 is a wasteful number, since it uses less digits than its factorization.

74472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its digits is 1568, while the sum is 24.

The square root of 74472 is about 272.8955844275. The cubic root of 74472 is about 42.0724373538.

The spelling of 74472 in words is "seventy-four thousand, four hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 24 29 58 87 107 116 174 214 232 321 348 428 642 696 856 1284 2568 3103 6206 9309 12412 18618 24824 37236 74472