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72376016 = 2419238079
BaseRepresentation
bin1000101000001…
…01111011010000
312001012002020012
410110011323100
5122012013031
611103134052
71536120536
oct424057320
9161162205
1072376016
1137944199
12202a4328
1311cc115b
149880156
156549b2b
hex4505ed0

72376016 has 20 divisors (see below), whose sum is σ = 147609600. Its totient is φ = 34283232.

The previous prime is 72376001. The next prime is 72376019. The reversal of 72376016 is 61067327.

It is a super-3 number, since 3×723760163 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72376019) 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 3 ways as a sum of consecutive naturals, for example, 118736 + ... + 119343.

It is an arithmetic number, because the mean of its divisors is an integer number (7380480).

Almost surely, 272376016 is an apocalyptic number.

72376016 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

72376016 is an abundant number, since it is smaller than the sum of its proper divisors (75233584).

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

72376016 is a wasteful number, since it uses less digits than its factorization.

72376016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238106 (or 238100 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 72376016 is about 8507.4094764505. The cubic root of 72376016 is about 416.7397156902.

The spelling of 72376016 in words is "seventy-two million, three hundred seventy-six thousand, sixteen".

Divisors: 1 2 4 8 16 19 38 76 152 304 238079 476158 952316 1904632 3809264 4523501 9047002 18094004 36188008 72376016