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72996642 = 232732761
BaseRepresentation
bin1000101100111…
…01011100100010
312002100121120100
410112131130202
5122141343032
611124323230
71544314125
oct426353442
9162317510
1072996642
1138228504
1220543516
131217a7a4
1499a23bc
15661d97c
hex459d722

72996642 has 36 divisors (see below), whose sum is σ = 160566354. Its totient is φ = 23967360.

The previous prime is 72996631. The next prime is 72996659. The reversal of 72996642 is 24669927.

It can be written as a sum of positive squares in 3 ways, for example, as 43283241 + 29713401 = 6579^2 + 5451^2 .

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 17 ways as a sum of consecutive naturals, for example, 95542 + ... + 96302.

Almost surely, 272996642 is an apocalyptic number.

72996642 is an abundant number, since it is smaller than the sum of its proper divisors (87569712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72996642 is a wasteful number, since it uses less digits than its factorization.

72996642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 839 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 72996642 is about 8543.8072309714. The cubic root of 72996642 is about 417.9275112198.

The spelling of 72996642 in words is "seventy-two million, nine hundred ninety-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 761 1314 1522 2283 4566 5329 6849 10658 13698 15987 31974 47961 55553 95922 111106 166659 333318 499977 999954 4055369 8110738 12166107 24332214 36498321 72996642