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72370419 = 3114351001
BaseRepresentation
bin1000101000001…
…00100011110011
312001011210112220
410110010203303
5122011323134
611103052123
71536065322
oct424044363
9161153486
1072370419
113793aa70
12202a1043
1311cbb744
14987c0b9
156548149
hex45048f3

72370419 has 16 divisors (see below), whose sum is σ = 107716224. Its totient is φ = 42840000.

The previous prime is 72370391. The next prime is 72370421. The reversal of 72370419 is 91407327.

It is not a de Polignac number, because 72370419 - 29 = 72369907 is a prime.

It is a super-3 number, since 3×723704193 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 72370419.

It is not an unprimeable number, because it can be changed into a prime (72370019) 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 15 ways as a sum of consecutive naturals, for example, 24082 + ... + 26919.

It is an arithmetic number, because the mean of its divisors is an integer number (6732264).

Almost surely, 272370419 is an apocalyptic number.

72370419 is a deficient number, since it is larger than the sum of its proper divisors (35345805).

72370419 is a wasteful number, since it uses less digits than its factorization.

72370419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51058.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 72370419 is about 8507.0805215420. The cubic root of 72370419 is about 416.7289729403.

The spelling of 72370419 in words is "seventy-two million, three hundred seventy thousand, four hundred nineteen".

Divisors: 1 3 11 33 43 129 473 1419 51001 153003 561011 1683033 2193043 6579129 24123473 72370419