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72132372 = 223213791951
BaseRepresentation
bin1000100110010…
…10011100010100
312000201201000100
410103022130110
5121431213442
611054014100
71534054314
oct423123424
9160651010
1072132372
1137798134
12201a7330
1311c372a0
149819444
1564ec84c
hex44ca714

72132372 has 72 divisors (see below), whose sum is σ = 198947840. Its totient is φ = 21902400.

The previous prime is 72132349. The next prime is 72132391. The reversal of 72132372 is 27323127.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35997 + ... + 37947.

Almost surely, 272132372 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 72132372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99473920).

72132372 is an abundant number, since it is smaller than the sum of its proper divisors (126815468).

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

72132372 is a wasteful number, since it uses less digits than its factorization.

72132372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2048 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 72132372 is about 8493.0778873151. The cubic root of 72132372 is about 416.2715574691.

Adding to 72132372 its reverse (27323127), we get a palindrome (99455499).

The spelling of 72132372 in words is "seventy-two million, one hundred thirty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 234 237 316 468 474 711 948 1027 1422 1951 2054 2844 3081 3902 4108 5853 6162 7804 9243 11706 12324 17559 18486 23412 25363 35118 36972 50726 70236 76089 101452 152178 154129 228267 304356 308258 456534 462387 616516 913068 924774 1387161 1849548 2003677 2774322 4007354 5548644 6011031 8014708 12022062 18033093 24044124 36066186 72132372