Search a number
-
+
73720071 = 3312721499
BaseRepresentation
bin1000110010011…
…10000100000111
312010201100221000
410121032010013
5122333020241
611152024343
71553416215
oct431160407
9163640830
1073720071
1138681a87
12208320b3
1312371b59
149b0dcb5
156712eb6
hex464e107

73720071 has 16 divisors (see below), whose sum is σ = 110080000. Its totient is φ = 48757464.

The previous prime is 73720067. The next prime is 73720099. The reversal of 73720071 is 17002737.

It is not a de Polignac number, because 73720071 - 22 = 73720067 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73720051) 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 15 ways as a sum of consecutive naturals, for example, 7321 + ... + 14178.

It is an arithmetic number, because the mean of its divisors is an integer number (6880000).

Almost surely, 273720071 is an apocalyptic number.

73720071 is a deficient number, since it is larger than the sum of its proper divisors (36359929).

73720071 is a wasteful number, since it uses less digits than its factorization.

73720071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21635 (or 21629 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 73720071 is about 8586.0393080861. The cubic root of 73720071 is about 419.3035908082.

The spelling of 73720071 in words is "seventy-three million, seven hundred twenty thousand, seventy-one".

Divisors: 1 3 9 27 127 381 1143 3429 21499 64497 193491 580473 2730373 8191119 24573357 73720071