73226880 has 96 divisors (see below), whose sum is σ = 252881460. Its totient is φ = 19525632.

The previous prime is 73226873. The next prime is 73226887. The reversal of 73226880 is 8862237.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73226873) and next prime (73226887).

It can be written as a sum of positive squares in 2 ways, for example, as 70157376 + 3069504 = 8376^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73226887) 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 11 ways as a sum of consecutive naturals, for example, 597 + ... + 12116.

Almost surely, 2^73226880 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 73226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126440730).

73226880 is an abundant number, since it is smaller than the sum of its proper divisors (179654580).

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

73226880 is a wasteful number, since it uses less digits than its factorization.

73226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12738 (or 12723 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 73226880 is about 8557.2705928935. The cubic root of 73226880 is about 418.3664437673.

The spelling of 73226880 in words is "seventy-three million, two hundred twenty-six thousand, eight hundred eighty".