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72563845 = 537210601
BaseRepresentation
bin1000101001100…
…11110010000101
312001112121212211
410110303302011
5122034020340
611111143421
71540532254
oct424636205
9161477784
1072563845
1137a62322
1220374b71
13120587b3
1498cc79b
1565855ea
hex4533c85

72563845 has 12 divisors (see below), whose sum is σ = 89502084. Its totient is φ = 56476800.

The previous prime is 72563819. The next prime is 72563893. The reversal of 72563845 is 54836527.

It can be written as a sum of positive squares in 6 ways, for example, as 21883684 + 50680161 = 4678^2 + 7119^2 .

It is not a de Polignac number, because 72563845 - 213 = 72555653 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72563798 and 72563807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1545 + ... + 12145.

It is an arithmetic number, because the mean of its divisors is an integer number (7458507).

Almost surely, 272563845 is an apocalyptic number.

It is an amenable number.

72563845 is a deficient number, since it is larger than the sum of its proper divisors (16938239).

72563845 is a wasteful number, since it uses less digits than its factorization.

72563845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10680 (or 10643 counting only the distinct ones).

The product of its digits is 201600, while the sum is 40.

The square root of 72563845 is about 8518.4414654325. The cubic root of 72563845 is about 417.0999095431.

The spelling of 72563845 in words is "seventy-two million, five hundred sixty-three thousand, eight hundred forty-five".

Divisors: 1 5 37 185 1369 6845 10601 53005 392237 1961185 14512769 72563845