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72325232 = 2473137563
BaseRepresentation
bin1000100111110…
…01100001110000
312001002111120022
410103321201300
5122003401412
611102103012
71535516510
oct423714160
9161074508
1072325232
113790a021
122027aa68
1311ca3cc5
149869840
156539a72
hex44f9870

72325232 has 80 divisors (see below), whose sum is σ = 170084352. Its totient is φ = 29134080.

The previous prime is 72325213. The next prime is 72325241. The reversal of 72325232 is 23252327.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128183 + ... + 128745.

Almost surely, 272325232 is an apocalyptic number.

72325232 is the 6944-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72325232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85042176).

72325232 is an abundant number, since it is smaller than the sum of its proper divisors (97759120).

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

72325232 is a wasteful number, since it uses less digits than its factorization.

72325232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its digits is 5040, while the sum is 26.

The square root of 72325232 is about 8504.4242603483. The cubic root of 72325232 is about 416.6422217837.

Adding to 72325232 its reverse (23252327), we get a palindrome (95577559).

The spelling of 72325232 in words is "seventy-two million, three hundred twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 37 56 62 74 112 124 148 217 248 259 296 434 496 518 563 592 868 1036 1126 1147 1736 2072 2252 2294 3472 3941 4144 4504 4588 7882 8029 9008 9176 15764 16058 17453 18352 20831 31528 32116 34906 41662 63056 64232 69812 83324 122171 128464 139624 145817 166648 244342 279248 291634 333296 488684 583268 645761 977368 1166536 1291522 1954736 2333072 2583044 4520327 5166088 9040654 10332176 18081308 36162616 72325232