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72019344 = 2431788259
BaseRepresentation
bin1000100101011…
…10110110010000
312000111221222010
410102232312100
5121414104334
611051342520
71533103635
oct422566620
9160457863
1072019344
1137720221
1220151a40
1311bc79c7
1497ca18c
1564c90e9
hex44aed90

72019344 has 40 divisors (see below), whose sum is σ = 196996320. Its totient is φ = 22594048.

The previous prime is 72019333. The next prime is 72019399. The reversal of 72019344 is 44391027.

It is a happy number.

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, 43314 + ... + 44945.

It is an arithmetic number, because the mean of its divisors is an integer number (4924908).

Almost surely, 272019344 is an apocalyptic number.

It is an amenable number.

72019344 is an abundant number, since it is smaller than the sum of its proper divisors (124976976).

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

72019344 is a wasteful number, since it uses less digits than its factorization.

72019344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88287 (or 88281 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 72019344 is about 8486.4211538198. The cubic root of 72019344 is about 416.0540178868.

The spelling of 72019344 in words is "seventy-two million, nineteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 88259 176518 264777 353036 529554 706072 1059108 1412144 1500403 2118216 3000806 4236432 4501209 6001612 9002418 12003224 18004836 24006448 36009672 72019344