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72063150 = 23521732777
BaseRepresentation
bin1000100101110…
…01100010101110
312000121012001120
410102321202232
5121422010100
611052321410
71533345435
oct422714256
9160535046
1072063150
1137750125
1220173266
1311c11923
1497dc11c
1564d70a0
hex44b98ae

72063150 has 48 divisors (see below), whose sum is σ = 179814384. Its totient is φ = 19098880.

The previous prime is 72063149. The next prime is 72063169. The reversal of 72063150 is 5136027.

It is a self number, because there is not a number n which added to its sum of digits gives 72063150.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24562 + ... + 27338.

It is an arithmetic number, because the mean of its divisors is an integer number (3746133).

Almost surely, 272063150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72063150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89907192).

72063150 is an abundant number, since it is smaller than the sum of its proper divisors (107751234).

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

72063150 is a wasteful number, since it uses less digits than its factorization.

72063150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 72063150 is about 8489.0017080927. The cubic root of 72063150 is about 416.1383561922.

Adding to 72063150 its reverse (5136027), we get a palindrome (77199177).

The spelling of 72063150 in words is "seventy-two million, sixty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 173 346 519 865 1038 1730 2595 2777 4325 5190 5554 8331 8650 12975 13885 16662 25950 27770 41655 69425 83310 138850 208275 416550 480421 960842 1441263 2402105 2882526 4804210 7206315 12010525 14412630 24021050 36031575 72063150