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72072240 = 2435300301
BaseRepresentation
bin1000100101110…
…11110000110000
312000121122112020
410102323300300
5121422302430
611052431440
71533414102
oct422736060
9160548466
1072072240
1137756a39
1220178580
1311c15ac6
149801572
1564d9b10
hex44bbc30

72072240 has 40 divisors (see below), whose sum is σ = 223424688. Its totient is φ = 19219200.

The previous prime is 72072239. The next prime is 72072269. The reversal of 72072240 is 4227027.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72072240.

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, 149911 + ... + 150390.

Almost surely, 272072240 is an apocalyptic number.

It is an amenable number.

72072240 is an abundant number, since it is smaller than the sum of its proper divisors (151352448).

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

72072240 is a wasteful number, since it uses less digits than its factorization.

72072240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300317 (or 300311 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 72072240 is about 8489.5370898536. The cubic root of 72072240 is about 416.1558525993.

Adding to 72072240 its reverse (4227027), we get a palindrome (76299267).

The spelling of 72072240 in words is "seventy-two million, seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 300301 600602 900903 1201204 1501505 1801806 2402408 3003010 3603612 4504515 4804816 6006020 7207224 9009030 12012040 14414448 18018060 24024080 36036120 72072240