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72025933 = 726124097
BaseRepresentation
bin1000100101100…
…00011101001101
312000112022000011
410102300131031
5121414312213
611051433221
71533132100
oct422603515
9160468004
1072025933
1137725171
1220155811
1311bca9c5
1497cc737
1564cb03d
hex44b074d

72025933 has 12 divisors (see below), whose sum is σ = 85162332. Its totient is φ = 60721920.

The previous prime is 72025913. The next prime is 72025963. The reversal of 72025933 is 33952027.

It can be written as a sum of positive squares in 2 ways, for example, as 25826724 + 46199209 = 5082^2 + 6797^2 .

It is not a de Polignac number, because 72025933 - 25 = 72025901 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72025895 and 72025904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72025913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9060 + ... + 15037.

It is an arithmetic number, because the mean of its divisors is an integer number (7096861).

Almost surely, 272025933 is an apocalyptic number.

It is an amenable number.

72025933 is a deficient number, since it is larger than the sum of its proper divisors (13136399).

72025933 is a wasteful number, since it uses less digits than its factorization.

72025933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24172 (or 24165 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 72025933 is about 8486.8093533436. The cubic root of 72025933 is about 416.0667056647.

The spelling of 72025933 in words is "seventy-two million, twenty-five thousand, nine hundred thirty-three".

Divisors: 1 7 49 61 427 2989 24097 168679 1180753 1469917 10289419 72025933