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72264368 = 2411715783
BaseRepresentation
bin1000100111010…
…10101010110000
312000222102002002
410103222222300
5121444424433
611100513132
71535144201
oct423525260
9160872062
1072264368
1137878320
122024b7a8
1311c823a7
1498515a8
1565269e8
hex44eaab0

72264368 has 40 divisors (see below), whose sum is σ = 154918656. Its totient is φ = 32379200.

The previous prime is 72264323. The next prime is 72264371. The reversal of 72264368 is 86346227.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9605 + ... + 15387.

Almost surely, 272264368 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 72264368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77459328).

72264368 is an abundant number, since it is smaller than the sum of its proper divisors (82654288).

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

72264368 is a wasteful number, since it uses less digits than its factorization.

72264368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5867 counting only the distinct ones).

The product of its digits is 96768, while the sum is 38.

The square root of 72264368 is about 8500.8451344558. The cubic root of 72264368 is about 416.5253163914.

The spelling of 72264368 in words is "seventy-two million, two hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 5783 6248 11566 12496 23132 46264 63613 92528 127226 254452 410593 508904 821186 1017808 1642372 3284744 4516523 6569488 9033046 18066092 36132184 72264368