73149201 has 6 divisors (see below), whose sum is σ = 105659970. Its totient is φ = 48766128.

The previous prime is 73149191. The next prime is 73149229. The reversal of 73149201 is 10294137.

It can be written as a sum of positive squares in only one way, i.e., 50339025 + 22810176 = 7095^2 + 4776^2 .

It is not a de Polignac number, because 73149201 - 2⁷ = 73149073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73149301) 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 5 ways as a sum of consecutive naturals, for example, 4063836 + ... + 4063853.

It is an arithmetic number, because the mean of its divisors is an integer number (17609995).

Almost surely, 2^73149201 is an apocalyptic number.

It is an amenable number.

73149201 is a deficient number, since it is larger than the sum of its proper divisors (32510769).

73149201 is a wasteful number, since it uses less digits than its factorization.

73149201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8127695 (or 8127692 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 73149201 is about 8552.7306165926. The cubic root of 73149201 is about 418.2184571939.

The spelling of 73149201 in words is "seventy-three million, one hundred forty-nine thousand, two hundred one".