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72120451 = 137178137
BaseRepresentation
bin1000100110001…
…11100010000011
312000201002122211
410103013202003
5121430323301
611053442551
71534004464
oct423074203
9160632584
1072120451
113778a187
12201a0457
1311c31a30
149814d6b
1564e9051
hex44c7883

72120451 has 8 divisors (see below), whose sum is σ = 78763104. Its totient is φ = 65634240.

The previous prime is 72120427. The next prime is 72120457. The reversal of 72120451 is 15402127.

It is a happy number.

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 72120451 - 213 = 72112259 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72120457) 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 7 ways as a sum of consecutive naturals, for example, 38146 + ... + 39991.

It is an arithmetic number, because the mean of its divisors is an integer number (9845388).

Almost surely, 272120451 is an apocalyptic number.

72120451 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

72120451 is a deficient number, since it is larger than the sum of its proper divisors (6642653).

72120451 is a wasteful number, since it uses less digits than its factorization.

72120451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78221.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 72120451 is about 8492.3760514947. The cubic root of 72120451 is about 416.2486244157.

Adding to 72120451 its reverse (15402127), we get a palindrome (87522578).

The spelling of 72120451 in words is "seventy-two million, one hundred twenty thousand, four hundred fifty-one".

Divisors: 1 13 71 923 78137 1015781 5547727 72120451