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72320436 = 22322008901
BaseRepresentation
bin1000100111110…
…00010110110100
312001002020222200
410103320112310
5122003223221
611102024500
71535466516
oct423702664
9161066880
1072320436
1137906461
1220278130
1311ca1a76
149867bb6
156538426
hex44f85b4

72320436 has 18 divisors (see below), whose sum is σ = 182810082. Its totient is φ = 24106800.

The previous prime is 72320429. The next prime is 72320447. The reversal of 72320436 is 63402327.

It can be written as a sum of positive squares in only one way, i.e., 56160036 + 16160400 = 7494^2 + 4020^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1004415 + ... + 1004486.

Almost surely, 272320436 is an apocalyptic number.

It is an amenable number.

72320436 is an abundant number, since it is smaller than the sum of its proper divisors (110489646).

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

72320436 is a wasteful number, since it uses less digits than its factorization.

72320436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008911 (or 2008906 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 72320436 is about 8504.1422847927. The cubic root of 72320436 is about 416.6330121796.

The spelling of 72320436 in words is "seventy-two million, three hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2008901 4017802 6026703 8035604 12053406 18080109 24106812 36160218 72320436