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72199044 = 22327383331
BaseRepresentation
bin1000100110110…
…10101110000100
312000212002110200
410103122232010
5121440332134
611055250500
71534452561
oct423325604
9160762420
1072199044
1137833235
1220219a30
1311c5b738
149835868
156512499
hex44dab84

72199044 has 72 divisors (see below), whose sum is σ = 187797792. Its totient is φ = 23379840.

The previous prime is 72199037. The next prime is 72199079. The reversal of 72199044 is 44099127.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217959 + ... + 218289.

Almost surely, 272199044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72199044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93898896).

72199044 is an abundant number, since it is smaller than the sum of its proper divisors (115598748).

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

72199044 is a wasteful number, since it uses less digits than its factorization.

72199044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 72199044 is about 8497.0020595502. The cubic root of 72199044 is about 416.3997713348.

The spelling of 72199044 in words is "seventy-two million, one hundred ninety-nine thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 83 146 166 219 249 292 331 332 438 498 657 662 747 876 993 996 1314 1324 1494 1986 2628 2979 2988 3972 5958 6059 11916 12118 18177 24163 24236 27473 36354 48326 54531 54946 72489 72708 82419 96652 109062 109892 144978 164838 217467 218124 247257 289956 329676 434934 494514 869868 989028 2005529 4011058 6016587 8022116 12033174 18049761 24066348 36099522 72199044