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99372 = 22372132
BaseRepresentation
bin11000010000101100
312001022110
4120100230
511134442
62044020
7562500
oct302054
9161273
1099372
1168729
1249610
1336300
1428300
151e69c
hex1842c

99372 has 54 divisors (see below), whose sum is σ = 292068. Its totient is φ = 26208.

The previous prime is 99371. The next prime is 99377. The reversal of 99372 is 27399.

It is not an unprimeable number, because it can be changed into a prime (99371) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7638 + ... + 7650.

299372 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 99372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146034).

99372 is an abundant number, since it is smaller than the sum of its proper divisors (192696).

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

99372 is a wasteful number, since it uses less digits than its factorization.

99372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 25 counting only the distinct ones).

The product of its digits is 3402, while the sum is 30.

The square root of 99372 is about 315.2332469775. The cubic root of 99372 is about 46.3185203008.

It can be divided in two parts, 9 and 9372, that multiplied together give a palindrome (84348).

The spelling of 99372 in words is "ninety-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 169 182 196 273 294 338 364 507 546 588 637 676 1014 1092 1183 1274 1911 2028 2366 2548 3549 3822 4732 7098 7644 8281 14196 16562 24843 33124 49686 99372