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72652041 = 32711412557
BaseRepresentation
bin1000101010010…
…01010100001001
312001201002212100
410111021110021
5122044331131
611113104013
71541350350
oct425112411
9161632770
1072652041
1138012610
12203b8009
1312089997
149912997
1565a17e6
hex4549509

72652041 has 48 divisors (see below), whose sum is σ = 134080128. Its totient is φ = 36806400.

The previous prime is 72652039. The next prime is 72652049. The reversal of 72652041 is 14025627.

72652041 is a `hidden beast` number, since 7 + 2 + 652 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 72652041 - 21 = 72652039 is a prime.

It is a super-2 number, since 2×726520412 = 10556638122931362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72651996 and 72652014.

It is not an unprimeable number, because it can be changed into a prime (72652049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27135 + ... + 29691.

It is an arithmetic number, because the mean of its divisors is an integer number (2793336).

Almost surely, 272652041 is an apocalyptic number.

It is an amenable number.

72652041 is a deficient number, since it is larger than the sum of its proper divisors (61428087).

72652041 is a wasteful number, since it uses less digits than its factorization.

72652041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72652041 is about 8523.6166619575. The cubic root of 72652041 is about 417.2688258489.

Adding to 72652041 its reverse (14025627), we get a palindrome (86677668).

The spelling of 72652041 in words is "seventy-two million, six hundred fifty-two thousand, forty-one".

Divisors: 1 3 7 9 11 21 33 41 63 77 99 123 231 287 369 451 693 861 1353 2557 2583 3157 4059 7671 9471 17899 23013 28127 28413 53697 84381 104837 161091 196889 253143 314511 590667 733859 943533 1153207 1772001 2201577 3459621 6604731 8072449 10378863 24217347 72652041