73740033 has 24 divisors (see below), whose sum is σ = 114642216. Its totient is φ = 45504000.

The previous prime is 73739993. The next prime is 73740053. The reversal of 73740033 is 33004737.

It can be written as a sum of positive squares in 4 ways, for example, as 7935489 + 65804544 = 2817^2 + 8112^2 .

It is not a de Polignac number, because 73740033 - 2⁸ = 73739777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73739979 and 73740006.

It is not an unprimeable number, because it can be changed into a prime (73740053) 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 23 ways as a sum of consecutive naturals, for example, 5383 + ... + 13283.

It is an arithmetic number, because the mean of its divisors is an integer number (4776759).

Almost surely, 2^73740033 is an apocalyptic number.

It is an amenable number.

73740033 is a deficient number, since it is larger than the sum of its proper divisors (40902183).

73740033 is a wasteful number, since it uses less digits than its factorization.

73740033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7985 (or 7982 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 73740033 is about 8587.2016978757. The cubic root of 73740033 is about 419.3414338849.

The spelling of 73740033 in words is "seventy-three million, seven hundred forty thousand, thirty-three".