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73076256 = 2534112233
BaseRepresentation
bin1000101101100…
…00111000100000
312002111122210000
410112300320200
5122201420011
611130140000
71545065211
oct426607040
9162448700
1073076256
1138282300
1220581600
13121a7ab6
1499c3408
156637356
hex45b0e20

73076256 has 180 divisors, whose sum is σ = 237243006. Its totient is φ = 22049280.

The previous prime is 73076243. The next prime is 73076257. The reversal of 73076256 is 65267037.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 69155856 + 3920400 = 8316^2 + 1980^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 73076256.

It is not an unprimeable number, because it can be changed into a prime (73076257) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 313516 + ... + 313748.

Almost surely, 273076256 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 73076256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118621503).

73076256 is an abundant number, since it is smaller than the sum of its proper divisors (164166750).

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

73076256 is a wasteful number, since it uses less digits than its factorization.

73076256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 73076256 is about 8548.4651253895. The cubic root of 73076256 is about 418.0793939681.

The spelling of 73076256 in words is "seventy-three million, seventy-six thousand, two hundred fifty-six".