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72157037 is a prime number
BaseRepresentation
bin1000100110100…
…00011101101101
312000202221211212
410103100131231
5121433011122
611054324205
71534216241
oct423203555
9160687755
1072157037
1137804717
12201b9665
1311c45594
149824421
156504ce2
hex44d076d

72157037 has 2 divisors, whose sum is σ = 72157038. Its totient is φ = 72157036.

The previous prime is 72157031. The next prime is 72157073. The reversal of 72157037 is 73075127.

Together with next prime (72157073) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71588521 + 568516 = 8461^2 + 754^2 .

It is an emirp because it is prime and its reverse (73075127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72157037 - 210 = 72156013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72156994 and 72157012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72157031) 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 as a sum of consecutive naturals, namely, 36078518 + 36078519.

It is an arithmetic number, because the mean of its divisors is an integer number (36078519).

Almost surely, 272157037 is an apocalyptic number.

It is an amenable number.

72157037 is a deficient number, since it is larger than the sum of its proper divisors (1).

72157037 is an equidigital number, since it uses as much as digits as its factorization.

72157037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10290, while the sum is 32.

The square root of 72157037 is about 8494.5298280717. The cubic root of 72157037 is about 416.3189988034.

The spelling of 72157037 in words is "seventy-two million, one hundred fifty-seven thousand, thirty-seven".