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72560025 = 32521971637
BaseRepresentation
bin1000101001100…
…10110110011001
312001112102122100
410110302312121
5122033410100
611111114013
71540515156
oct424626631
9161472570
1072560025
1137a5a46a
1220372909
1312056b35
1498cb22d
156584400
hex4532d99

72560025 has 36 divisors (see below), whose sum is σ = 130702572. Its totient is φ = 38478720.

The previous prime is 72560023. The next prime is 72560027. The reversal of 72560025 is 52006527.

It is an interprime number because it is at equal distance from previous prime (72560023) and next prime (72560027).

It can be written as a sum of positive squares in 6 ways, for example, as 1140624 + 71419401 = 1068^2 + 8451^2 .

It is not a de Polignac number, because 72560025 - 21 = 72560023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72560023) 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 in 35 ways as a sum of consecutive naturals, for example, 43507 + ... + 45143.

It is an arithmetic number, because the mean of its divisors is an integer number (3630627).

Almost surely, 272560025 is an apocalyptic number.

72560025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72560025 is a deficient number, since it is larger than the sum of its proper divisors (58142547).

72560025 is a wasteful number, since it uses less digits than its factorization.

72560025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 72560025 is about 8518.2172430621. The cubic root of 72560025 is about 417.0925902433.

The spelling of 72560025 in words is "seventy-two million, five hundred sixty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 197 225 591 985 1637 1773 2955 4911 4925 8185 8865 14733 14775 24555 40925 44325 73665 122775 322489 368325 967467 1612445 2902401 4837335 8062225 14512005 24186675 72560025