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72022027 = 7111922591
BaseRepresentation
bin1000100101011…
…11100000001011
312000112002122111
410102233200023
5121414201102
611051403151
71533114520
oct422574013
9160462574
1072022027
1137722240
12201534b7
1311bc8cac
1497cb147
1564c9cd7
hex44af80b

72022027 has 24 divisors (see below), whose sum is σ = 94804992. Its totient is φ = 53146800.

The previous prime is 72022007. The next prime is 72022031.

72022027 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72022027 - 211 = 72019979 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72021989 and 72022007.

It is not an unprimeable number, because it can be changed into a prime (72022007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26502 + ... + 29092.

It is an arithmetic number, because the mean of its divisors is an integer number (3950208).

Almost surely, 272022027 is an apocalyptic number.

72022027 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72022027 is a deficient number, since it is larger than the sum of its proper divisors (22782965).

72022027 is a wasteful number, since it uses less digits than its factorization.

72022027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 72022027 is about 8486.5792284053. The cubic root of 72022027 is about 416.0591843648.

It can be divided in two parts, 7202 and 2027, that added together give a palindrome (9229).

The spelling of 72022027 in words is "seventy-two million, twenty-two thousand, twenty-seven".

Divisors: 1 7 11 19 77 133 209 361 1463 2527 2591 3971 18137 27797 28501 49229 199507 344603 541519 935351 3790633 6547457 10288861 72022027