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72141931 = 177953717
BaseRepresentation
bin1000100110011…
…00110001101011
312000202012010101
410103030301223
5121432020211
611054130231
71534124221
oct423146153
9160665111
1072141931
11377a4334
12201b0977
1311c3b744
14981cb11
1565005c1
hex44ccc6b

72141931 has 8 divisors (see below), whose sum is σ = 77353920. Its totient is φ = 67037568.

The previous prime is 72141913. The next prime is 72141941. The reversal of 72141931 is 13914127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72141931 is a prime.

It is a super-2 number, since 2×721419312 = 10408916416817522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72141931.

It is not an unprimeable number, because it can be changed into a prime (72141941) by changing a digit.

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, 25516 + ... + 28201.

It is an arithmetic number, because the mean of its divisors is an integer number (9669240).

Almost surely, 272141931 is an apocalyptic number.

72141931 is a deficient number, since it is larger than the sum of its proper divisors (5211989).

72141931 is a wasteful number, since it uses less digits than its factorization.

72141931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53813.

The product of its digits is 1512, while the sum is 28.

The square root of 72141931 is about 8493.6406210765. The cubic root of 72141931 is about 416.2899447939.

The spelling of 72141931 in words is "seventy-two million, one hundred forty-one thousand, nine hundred thirty-one".

Divisors: 1 17 79 1343 53717 913189 4243643 72141931