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72368043 = 31123159109
BaseRepresentation
bin1000101000000…
…11111110101011
312001011200021220
410110003332223
5122011234133
611103033123
71536055356
oct424037653
9161150256
1072368043
1137939200
122029b7a3
1311cba637
14987b29d
1565475b3
hex4503fab

72368043 has 48 divisors (see below), whose sum is σ = 112358400. Its totient is φ = 41342400.

The previous prime is 72368027. The next prime is 72368047. The reversal of 72368043 is 34086327.

It is not a de Polignac number, because 72368043 - 24 = 72368027 is a prime.

It is a super-3 number, since 3×723680433 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72367995 and 72368013.

It is not an unprimeable number, because it can be changed into a prime (72368047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663873 + ... + 663981.

It is an arithmetic number, because the mean of its divisors is an integer number (2340800).

Almost surely, 272368043 is an apocalyptic number.

72368043 is a deficient number, since it is larger than the sum of its proper divisors (39990357).

72368043 is a wasteful number, since it uses less digits than its factorization.

72368043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 72368043 is about 8506.9408720174. The cubic root of 72368043 is about 416.7244123345.

The spelling of 72368043 in words is "seventy-two million, three hundred sixty-eight thousand, forty-three".

Divisors: 1 3 11 31 33 59 93 109 121 177 327 341 363 649 1023 1199 1829 1947 3379 3597 3751 5487 6431 7139 10137 11253 13189 19293 20119 21417 37169 39567 60357 70741 111507 199361 212223 221309 408859 598083 663927 778151 1226577 2192971 2334453 6578913 24122681 72368043