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72102079 = 722363977
BaseRepresentation
bin1000100110000…
…11000010111111
312000200011110101
410103003002333
5121424231304
611053221531
71533600100
oct423030277
9160604411
1072102079
11377773a5
12201918a7
1311c2656a
14980c3a7
1564e38a4
hex44c30bf

72102079 has 12 divisors (see below), whose sum is σ = 87521904. Its totient is φ = 59113824.

The previous prime is 72102077. The next prime is 72102113. The reversal of 72102079 is 97020127.

It is a happy number.

It is not a de Polignac number, because 72102079 - 21 = 72102077 is a prime.

It is a super-2 number, since 2×721020792 = 10397419592244482, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72102077) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 30862 + ... + 33115.

It is an arithmetic number, because the mean of its divisors is an integer number (7293492).

Almost surely, 272102079 is an apocalyptic number.

72102079 is a deficient number, since it is larger than the sum of its proper divisors (15419825).

72102079 is a wasteful number, since it uses less digits than its factorization.

72102079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64014 (or 64007 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 72102079 is about 8491.2943065236. The cubic root of 72102079 is about 416.2132762859.

The spelling of 72102079 in words is "seventy-two million, one hundred two thousand, seventy-nine".

Divisors: 1 7 23 49 161 1127 63977 447839 1471471 3134873 10300297 72102079