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72120930 = 2357343433
BaseRepresentation
bin1000100110001…
…11101001100010
312000201010022120
410103013221202
5121430332210
611053445110
71534006050
oct423075142
9160633276
1072120930
113778a582
12201a0796
1311c3200b
1498151d0
1564e9270
hex44c7a62

72120930 has 32 divisors (see below), whose sum is σ = 197817984. Its totient is φ = 16484736.

The previous prime is 72120929. The next prime is 72120931. The reversal of 72120930 is 3902127.

It is an interprime number because it is at equal distance from previous prime (72120929) and next prime (72120931).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72120930.

It is not an unprimeable number, because it can be changed into a prime (72120931) 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, 171507 + ... + 171926.

It is an arithmetic number, because the mean of its divisors is an integer number (6181812).

Almost surely, 272120930 is an apocalyptic number.

72120930 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72120930 is an abundant number, since it is smaller than the sum of its proper divisors (125697054).

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

72120930 is a wasteful number, since it uses less digits than its factorization.

72120930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343450.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 72120930 is about 8492.4042532136. The cubic root of 72120930 is about 416.2495459418.

The spelling of 72120930 in words is "seventy-two million, one hundred twenty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 343433 686866 1030299 1717165 2060598 2404031 3434330 4808062 5151495 7212093 10302990 12020155 14424186 24040310 36060465 72120930