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72136197 = 337381673
BaseRepresentation
bin1000100110010…
…11011000000101
312000201220021000
410103023120011
5121431324242
611054043513
71534101420
oct423133005
9160656230
1072136197
113779aaa1
12201a9599
1311c38c53
14981a9b7
1564eda4c
hex44cb605

72136197 has 16 divisors (see below), whose sum is σ = 122135680. Its totient is φ = 41220576.

The previous prime is 72136189. The next prime is 72136201. The reversal of 72136197 is 79163127.

It is a happy number.

It is not a de Polignac number, because 72136197 - 23 = 72136189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72136177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190648 + ... + 191025.

It is an arithmetic number, because the mean of its divisors is an integer number (7633480).

Almost surely, 272136197 is an apocalyptic number.

It is an amenable number.

72136197 is a deficient number, since it is larger than the sum of its proper divisors (49999483).

72136197 is a wasteful number, since it uses less digits than its factorization.

72136197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381689 (or 381683 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 72136197 is about 8493.3030677116. The cubic root of 72136197 is about 416.2789152870.

The spelling of 72136197 in words is "seventy-two million, one hundred thirty-six thousand, one hundred ninety-seven".

Divisors: 1 3 7 9 21 27 63 189 381673 1145019 2671711 3435057 8015133 10305171 24045399 72136197