72855946 has 16 divisors (see below), whose sum is σ = 114180840. Its totient is φ = 34820800.

The previous prime is 72855943. The next prime is 72855949. The reversal of 72855946 is 64955827.

It is an interprime number because it is at equal distance from previous prime (72855943) and next prime (72855949).

It can be written as a sum of positive squares in 4 ways, for example, as 62583921 + 10272025 = 7911^2 + 3205^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72855896 and 72855905.

It is not an unprimeable number, because it can be changed into a prime (72855943) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 361 + ... + 12076.

Almost surely, 2^72855946 is an apocalyptic number.

72855946 is a deficient number, since it is larger than the sum of its proper divisors (41324894).

72855946 is a wasteful number, since it uses less digits than its factorization.

72855946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12569.

The product of its digits is 604800, while the sum is 46.

The square root of 72855946 is about 8535.5694596201. The cubic root of 72855946 is about 417.6588296926.

It can be divided in two parts, 7285 and 5946, that added together give a palindrome (13231).

The spelling of 72855946 in words is "seventy-two million, eight hundred fifty-five thousand, nine hundred forty-six".