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72464805 = 3257230047
BaseRepresentation
bin1000101000110…
…11100110100101
312001100121000200
410110123212211
5122022333210
611105101113
71536640440
oct424334645
9161317020
1072464805
11379a4976
1220327799
13120226aa
1498a4657
1565660c0
hex451b9a5

72464805 has 24 divisors (see below), whose sum is σ = 143549952. Its totient is φ = 33126624.

The previous prime is 72464797. The next prime is 72464831. The reversal of 72464805 is 50846427.

72464805 is a `hidden beast` number, since 7 + 2 + 4 + 648 + 0 + 5 = 666.

It is not a de Polignac number, because 72464805 - 23 = 72464797 is a prime.

It is a super-2 number, since 2×724648052 = 10502295927376050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72464805.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 114709 + ... + 115338.

It is an arithmetic number, because the mean of its divisors is an integer number (5981248).

Almost surely, 272464805 is an apocalyptic number.

It is an amenable number.

72464805 is a deficient number, since it is larger than the sum of its proper divisors (71085147).

72464805 is a wasteful number, since it uses less digits than its factorization.

72464805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230065 (or 230062 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 72464805 is about 8512.6262105181. The cubic root of 72464805 is about 416.9100611720.

The spelling of 72464805 in words is "seventy-two million, four hundred sixty-four thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 230047 690141 1150235 1610329 2070423 3450705 4830987 8051645 10352115 14492961 24154935 72464805