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72889773 = 31131431657
BaseRepresentation
bin1000101100000…
…11010110101101
312002011011222020
410112003112231
5122124433043
611122140353
71543360425
oct426032655
9162134866
1072889773
1138165190
12204b16b9
1312140c58
149975485
1565ebe83
hex45835ad

72889773 has 32 divisors (see below), whose sum is σ = 112054272. Its totient is φ = 41731200.

The previous prime is 72889771. The next prime is 72889799. The reversal of 72889773 is 37798827.

It is not a de Polignac number, because 72889773 - 21 = 72889771 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72889771) 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 31 ways as a sum of consecutive naturals, for example, 43161 + ... + 44817.

It is an arithmetic number, because the mean of its divisors is an integer number (3501696).

Almost surely, 272889773 is an apocalyptic number.

It is an amenable number.

72889773 is a deficient number, since it is larger than the sum of its proper divisors (39164499).

72889773 is a wasteful number, since it uses less digits than its factorization.

72889773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745.

The product of its digits is 1185408, while the sum is 51.

The square root of 72889773 is about 8537.5507611961. The cubic root of 72889773 is about 417.7234593260.

The spelling of 72889773 in words is "seventy-two million, eight hundred eighty-nine thousand, seven hundred seventy-three".

Divisors: 1 3 11 31 33 43 93 129 341 473 1023 1333 1419 1657 3999 4971 14663 18227 43989 51367 54681 71251 154101 213753 565037 783761 1695111 2208781 2351283 6626343 24296591 72889773