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72310949 = 2910972273
BaseRepresentation
bin1000100111101…
…10000010100101
312001001202222022
410103312002211
5122002422244
611101512525
71535430044
oct423660245
9161052868
1072310949
11378aa317
1220272745
1311c9a659
14986455b
1565356ee
hex44f60a5

72310949 has 8 divisors (see below), whose sum is σ = 74905560. Its totient is φ = 69723136.

The previous prime is 72310943. The next prime is 72310951. The reversal of 72310949 is 94901327.

It can be written as a sum of positive squares in 4 ways, for example, as 17698849 + 54612100 = 4207^2 + 7390^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72310949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72310943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30677 + ... + 32949.

It is an arithmetic number, because the mean of its divisors is an integer number (9363195).

Almost surely, 272310949 is an apocalyptic number.

It is an amenable number.

72310949 is a deficient number, since it is larger than the sum of its proper divisors (2594611).

72310949 is a wasteful number, since it uses less digits than its factorization.

72310949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399.

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 72310949 is about 8503.5844795004. The cubic root of 72310949 is about 416.6147934000.

The spelling of 72310949 in words is "seventy-two million, three hundred ten thousand, nine hundred forty-nine".

Divisors: 1 29 1097 2273 31813 65917 2493481 72310949