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75227040 = 25325717439
BaseRepresentation
bin1000111101111…
…01111110100000
312020112221002200
410132331332200
5123224231130
611244213200
71602263550
oct436757640
9166487080
1075227040
1139511209
122123a200
131277ba55
149dc3160
15690e760
hex47bdfa0

75227040 has 288 divisors, whose sum is σ = 311351040. Its totient is φ = 16146432.

The previous prime is 75227029. The next prime is 75227041. The reversal of 75227040 is 4072257.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 75226995 and 75227013.

It is not an unprimeable number, because it can be changed into a prime (75227041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171141 + ... + 171579.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 275227040 is an apocalyptic number.

75227040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

75227040 is an abundant number, since it is smaller than the sum of its proper divisors (236124000).

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

75227040 is a wasteful number, since it uses less digits than its factorization.

75227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 75227040 is about 8673.3522930871. The cubic root of 75227040 is about 422.1414438675.

Adding to 75227040 its reverse (4072257), we get a palindrome (79299297).

The spelling of 75227040 in words is "seventy-five million, two hundred twenty-seven thousand, forty".