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72170514 = 2351311423
BaseRepresentation
bin1000100110100…
…11110000010010
312000210122100000
410103103300102
5121433424024
611054510430
71534303443
oct423236022
9160718300
1072170514
1137813859
1220205416
1311c4b760
1498292ca
156508cc9
hex44d3c12

72170514 has 48 divisors (see below), whose sum is σ = 174650112. Its totient is φ = 22204368.

The previous prime is 72170513. The next prime is 72170557. The reversal of 72170514 is 41507127.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72170513) 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 23 ways as a sum of consecutive naturals, for example, 607 + ... + 12029.

It is an arithmetic number, because the mean of its divisors is an integer number (3638544).

Almost surely, 272170514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72170514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87325056).

72170514 is an abundant number, since it is smaller than the sum of its proper divisors (102479598).

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

72170514 is a wasteful number, since it uses less digits than its factorization.

72170514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11453 (or 11441 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 72170514 is about 8495.3230662524. The cubic root of 72170514 is about 416.3449162658.

The spelling of 72170514 in words is "seventy-two million, one hundred seventy thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 6318 11423 22846 34269 68538 102807 148499 205614 296998 308421 445497 616842 890994 925263 1336491 1850526 2672982 2775789 4009473 5551578 8018946 12028419 24056838 36085257 72170514