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72422427 = 3711313517
BaseRepresentation
bin1000101000100…
…01010000011011
312001021102220010
410110101100123
5122020004202
611104133003
71536403050
oct424212033
9161242803
1072422427
1137976050
1220307163
131200930c
149893027
15655876c
hex451141b

72422427 has 16 divisors (see below), whose sum is σ = 120390912. Its totient is φ = 37621920.

The previous prime is 72422419. The next prime is 72422461.

72422427 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72422427 - 23 = 72422419 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72422394 and 72422403.

It is not an unprimeable number, because it can be changed into a prime (72422407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156528 + ... + 156989.

It is an arithmetic number, because the mean of its divisors is an integer number (7524432).

Almost surely, 272422427 is an apocalyptic number.

72422427 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72422427 is a deficient number, since it is larger than the sum of its proper divisors (47968485).

72422427 is a wasteful number, since it uses less digits than its factorization.

72422427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313538.

The product of its digits is 12544, while the sum is 30.

The square root of 72422427 is about 8510.1367204058. The cubic root of 72422427 is about 416.8287745401.

It can be divided in two parts, 7242 and 2427, that added together give a palindrome (9669).

The spelling of 72422427 in words is "seventy-two million, four hundred twenty-two thousand, four hundred twenty-seven".

Divisors: 1 3 7 11 21 33 77 231 313517 940551 2194619 3448687 6583857 10346061 24140809 72422427