Search a number
-
+
73225760 = 255457661
BaseRepresentation
bin1000101110101…
…01011000100000
312002210020212012
410113111120200
5122221211020
611133252052
71546260116
oct427253040
9162706765
1073225760
1138374663
1220634028
131222ab6a
149a21ab6
1566667c5
hex45d5620

73225760 has 24 divisors (see below), whose sum is σ = 172996236. Its totient is φ = 29290240.

The previous prime is 73225741. The next prime is 73225799. The reversal of 73225760 is 6752237.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70627216 + 2598544 = 8404^2 + 1612^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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, 228671 + ... + 228990.

Almost surely, 273225760 is an apocalyptic number.

It is an amenable number.

73225760 is an abundant number, since it is smaller than the sum of its proper divisors (99770476).

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

73225760 is a wasteful number, since it uses less digits than its factorization.

73225760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457676 (or 457668 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 73225760 is about 8557.2051512161. The cubic root of 73225760 is about 418.3643107946.

Adding to 73225760 its reverse (6752237), we get a palindrome (79977997).

The spelling of 73225760 in words is "seventy-three million, two hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 457661 915322 1830644 2288305 3661288 4576610 7322576 9153220 14645152 18306440 36612880 73225760