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72219912 = 233191091453
BaseRepresentation
bin1000100110111…
…11110100001000
312000220011002120
410103133310020
5121442014122
611055531240
71534600452
oct423376410
9160804076
1072219912
1137847986
1220229b20
1311c6809b
14983d2d2
15651875c
hex44dfd08

72219912 has 64 divisors (see below), whose sum is σ = 191928000. Its totient is φ = 22581504.

The previous prime is 72219911. The next prime is 72219923. The reversal of 72219912 is 21991227.

It is not an unprimeable number, because it can be changed into a prime (72219911) 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 15 ways as a sum of consecutive naturals, for example, 48978 + ... + 50430.

It is an arithmetic number, because the mean of its divisors is an integer number (2998875).

Almost surely, 272219912 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 72219912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95964000).

72219912 is an abundant number, since it is smaller than the sum of its proper divisors (119708088).

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

72219912 is a wasteful number, since it uses less digits than its factorization.

72219912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1586 counting only the distinct ones).

The product of its digits is 4536, while the sum is 33.

The square root of 72219912 is about 8498.2299333449. The cubic root of 72219912 is about 416.4398854088.

The spelling of 72219912 in words is "seventy-two million, two hundred nineteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 109 114 152 218 228 327 436 456 654 872 1308 1453 2071 2616 2906 4142 4359 5812 6213 8284 8718 11624 12426 16568 17436 24852 27607 34872 49704 55214 82821 110428 158377 165642 220856 316754 331284 475131 633508 662568 950262 1267016 1900524 3009163 3801048 6018326 9027489 12036652 18054978 24073304 36109956 72219912