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72988927 = 1123927763
BaseRepresentation
bin1000101100110…
…11100011111111
312002100012222121
410112123203333
5122141121202
611124223411
71544252464
oct426334377
9162305877
1072988927
1138222730
122053ab67
131217711b
14999d66b
15661b537
hex459b8ff

72988927 has 8 divisors (see below), whose sum is σ = 79960320. Its totient is φ = 66073560.

The previous prime is 72988921. The next prime is 72988961.

72988927 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 72988927 - 215 = 72956159 is a prime.

It is a super-2 number, since 2×729889272 = 10654766929222658, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72988921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11253 + ... + 16510.

It is an arithmetic number, because the mean of its divisors is an integer number (9995040).

Almost surely, 272988927 is an apocalyptic number.

72988927 is a deficient number, since it is larger than the sum of its proper divisors (6971393).

72988927 is a wasteful number, since it uses less digits than its factorization.

72988927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28013.

The product of its digits is 1016064, while the sum is 52.

The square root of 72988927 is about 8543.3557224313. The cubic root of 72988927 is about 417.9127871436.

The spelling of 72988927 in words is "seventy-two million, nine hundred eighty-eight thousand, nine hundred twenty-seven".

Divisors: 1 11 239 2629 27763 305393 6635357 72988927