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72372276 = 22322010341
BaseRepresentation
bin1000101000001…
…01000000110100
312001011220002200
410110011000310
5122011403101
611103104500
71536103614
oct424050064
9161156080
1072372276
11379413a9
12202a2130
1311cbc542
14987ca44
156548986
hex4505034

72372276 has 18 divisors (see below), whose sum is σ = 182941122. Its totient is φ = 24124080.

The previous prime is 72372271. The next prime is 72372277. The reversal of 72372276 is 67227327.

It can be written as a sum of positive squares in only one way, i.e., 68062500 + 4309776 = 8250^2 + 2076^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2010341 = 72372276 / (7 + 2 + 3 + 7 + 2 + 2 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 72372276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72372271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1005135 + ... + 1005206.

Almost surely, 272372276 is an apocalyptic number.

It is an amenable number.

72372276 is an abundant number, since it is smaller than the sum of its proper divisors (110568846).

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

72372276 is a wasteful number, since it uses less digits than its factorization.

72372276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010351 (or 2010346 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 72372276 is about 8507.1896652185. The cubic root of 72372276 is about 416.7325372838.

The spelling of 72372276 in words is "seventy-two million, three hundred seventy-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 2010341 4020682 6031023 8041364 12062046 18093069 24124092 36186138 72372276