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72373376 = 27896353
BaseRepresentation
bin1000101000001…
…01010010000000
312001011221121102
410110011102000
5122011422001
611103113532
71536110045
oct424052200
9161157542
1072373376
1137942209
12202a28a8
1311cbcbaa
14987d1cc
156548e6b
hex4505480

72373376 has 32 divisors (see below), whose sum is σ = 145824300. Its totient is φ = 35774464.

The previous prime is 72373361. The next prime is 72373381. The reversal of 72373376 is 67337327.

It can be written as a sum of positive squares in 2 ways, for example, as 69889600 + 2483776 = 8360^2 + 1576^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8216 + ... + 14568.

Almost surely, 272373376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72373376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72912150).

72373376 is an abundant number, since it is smaller than the sum of its proper divisors (73450924).

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

72373376 is an equidigital number, since it uses as much as digits as its factorization.

72373376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456 (or 6444 counting only the distinct ones).

The product of its digits is 111132, while the sum is 38.

The square root of 72373376 is about 8507.2543161704. The cubic root of 72373376 is about 416.7346486055.

The spelling of 72373376 in words is "seventy-two million, three hundred seventy-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2848 5696 6353 11392 12706 25412 50824 101648 203296 406592 565417 813184 1130834 2261668 4523336 9046672 18093344 36186688 72373376