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72623088 = 2433168109
BaseRepresentation
bin1000101010000…
…10001111110000
312001122122011000
410111002033300
5122042414323
611112322000
71541200056
oct425021760
9161578130
1072623088
1137aa288a
12203a3300
1312079755
1499061d6
156597e43
hex45423f0

72623088 has 40 divisors (see below), whose sum is σ = 208456400. Its totient is φ = 24207552.

The previous prime is 72623081. The next prime is 72623107. The reversal of 72623088 is 88032627.

It is a happy number.

It is a super-2 number, since 2×726230882 = 10548225821311488, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72623081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83623 + ... + 84486.

It is an arithmetic number, because the mean of its divisors is an integer number (5211410).

Almost surely, 272623088 is an apocalyptic number.

It is an amenable number.

72623088 is an abundant number, since it is smaller than the sum of its proper divisors (135833312).

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

72623088 is a wasteful number, since it uses less digits than its factorization.

72623088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168126 (or 168114 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72623088 is about 8521.9180939504. The cubic root of 72623088 is about 417.2133890511.

The spelling of 72623088 in words is "seventy-two million, six hundred twenty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 168109 336218 504327 672436 1008654 1344872 1512981 2017308 2689744 3025962 4034616 4538943 6051924 8069232 9077886 12103848 18155772 24207696 36311544 72623088