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72245088 = 253383617
BaseRepresentation
bin1000100111001…
…01111101100000
312000221102122000
410103211331200
5121443320323
611100244000
71535034036
oct423457540
9160842560
1072245088
1137864893
1220240600
1311c76696
149848556
156520e43
hex44e5f60

72245088 has 48 divisors (see below), whose sum is σ = 210717360. Its totient is φ = 24081408.

The previous prime is 72245071. The next prime is 72245099. The reversal of 72245088 is 88054227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 7 ways as a sum of consecutive naturals, for example, 40945 + ... + 42672.

It is an arithmetic number, because the mean of its divisors is an integer number (4389945).

Almost surely, 272245088 is an apocalyptic number.

It is an amenable number.

72245088 is an abundant number, since it is smaller than the sum of its proper divisors (138472272).

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

72245088 is a wasteful number, since it uses less digits than its factorization.

72245088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83636 (or 83622 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 72245088 is about 8499.7110539124. The cubic root of 72245088 is about 416.4882703681.

The spelling of 72245088 in words is "seventy-two million, two hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 83617 167234 250851 334468 501702 668936 752553 1003404 1337872 1505106 2006808 2257659 2675744 3010212 4013616 4515318 6020424 8027232 9030636 12040848 18061272 24081696 36122544 72245088