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72753093 = 3372127433
BaseRepresentation
bin1000101011000…
…01111111000101
312001220020111000
410111201333011
5122111044333
611115203513
71542251100
oct425417705
9161806430
1072753093
1138081526
1220446599
13120c398a
14993b737
1565c1713
hex4561fc5

72753093 has 48 divisors (see below), whose sum is σ = 126658560. Its totient is φ = 41150592.

The previous prime is 72753091. The next prime is 72753101. The reversal of 72753093 is 39035727.

It is a happy number.

It is not a de Polignac number, because 72753093 - 21 = 72753091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72753091) 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, 167805 + ... + 168237.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 272753093 is an apocalyptic number.

It is an amenable number.

72753093 is a deficient number, since it is larger than the sum of its proper divisors (53905467).

72753093 is a wasteful number, since it uses less digits than its factorization.

72753093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 72753093 is about 8529.5423675599. The cubic root of 72753093 is about 417.4621964887.

The spelling of 72753093 in words is "seventy-two million, seven hundred fifty-three thousand, ninety-three".

Divisors: 1 3 7 9 21 27 49 63 127 147 189 381 433 441 889 1143 1299 1323 2667 3031 3429 3897 6223 8001 9093 11691 18669 21217 24003 27279 54991 56007 63651 81837 164973 168021 190953 384937 494919 572859 1154811 1484757 2694559 3464433 8083677 10393299 24251031 72753093