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70272000 = 210325361
BaseRepresentation
bin1000011000001…
…00010000000000
311220020012001200
410030010100000
5120442201000
610550101200
71512205431
oct414042000
9156205050
1070272000
1136737437
121b64a800
1311735586
149493488
156281500
hex4304400

70272000 has 264 divisors, whose sum is σ = 257381592. Its totient is φ = 18432000.

The previous prime is 70271987. The next prime is 70272023. The reversal of 70272000 is 27207.

It can be written as a sum of positive squares in 4 ways, for example, as 17040384 + 53231616 = 4128^2 + 7296^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151970 + ... + 1152030.

Almost surely, 270272000 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 70272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128690796).

70272000 is an abundant number, since it is smaller than the sum of its proper divisors (187109592).

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

70272000 is a wasteful number, since it uses less digits than its factorization.

70272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 70272000 is about 8382.8396143550. The cubic root of 70272000 is about 412.6616446377.

Adding to 70272000 its reverse (27207), we get a palindrome (70299207).

The spelling of 70272000 in words is "seventy million, two hundred seventy-two thousand".