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72131352440 = 2357257611973
BaseRepresentation
bin100001100101101011…
…1010001011101111000
320220011221212100202212
41003023113101131320
52140211111234230
653045305114252
75132324244110
oct1031327213570
9226157770685
1072131352440
11286552a4774
1211b90788988
136a56b91c44
1436c3b04040
151d227bc895
hex10cb5d1778

72131352440 has 32 divisors (see below), whose sum is σ = 185480621280. Its totient is φ = 24730749312.

The previous prime is 72131352421. The next prime is 72131352473. The reversal of 72131352440 is 4425313127.

It is a junction number, because it is equal to n+sod(n) for n = 72131352397 and 72131352406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128805707 + ... + 128806266.

It is an arithmetic number, because the mean of its divisors is an integer number (5796269415).

Almost surely, 272131352440 is an apocalyptic number.

72131352440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72131352440 is an abundant number, since it is smaller than the sum of its proper divisors (113349268840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72131352440 is a wasteful number, since it uses less digits than its factorization.

72131352440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257611991 (or 257611987 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 72131352440 its reverse (4425313127), we get a palindrome (76556665567).

The spelling of 72131352440 in words is "seventy-two billion, one hundred thirty-one million, three hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 257611973 515223946 1030447892 1288059865 1803283811 2060895784 2576119730 3606567622 5152239460 7213135244 9016419055 10304478920 14426270488 18032838110 36065676220 72131352440