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72226776 = 23331193503
BaseRepresentation
bin1000100111000…
…01011111011000
312000220111111210
410103201133120
5121442224101
611100023120
71534626456
oct423413730
9160814453
1072226776
1137852056
1220231aa0
1311c6b24b
1498419d6
15651a7d6
hex44e17d8

72226776 has 64 divisors (see below), whose sum is σ = 187729920. Its totient is φ = 23132160.

The previous prime is 72226741. The next prime is 72226837. The reversal of 72226776 is 67762227.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 143341 + ... + 143843.

It is an arithmetic number, because the mean of its divisors is an integer number (2933280).

Almost surely, 272226776 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 72226776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93864960).

72226776 is an abundant number, since it is smaller than the sum of its proper divisors (115503144).

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

72226776 is a wasteful number, since it uses less digits than its factorization.

72226776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 732 counting only the distinct ones).

The product of its digits is 98784, while the sum is 39.

The square root of 72226776 is about 8498.6337725543. The cubic root of 72226776 is about 416.4530782284.

The spelling of 72226776 in words is "seventy-two million, two hundred twenty-six thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 193 248 372 386 503 579 744 772 1006 1158 1509 1544 2012 2316 3018 4024 4632 5983 6036 11966 12072 15593 17949 23932 31186 35898 46779 47864 62372 71796 93558 97079 124744 143592 187116 194158 291237 374232 388316 582474 776632 1164948 2329896 3009449 6018898 9028347 12037796 18056694 24075592 36113388 72226776