73977201 has 27 divisors (see below), whose sum is σ = 110997003. Its totient is φ = 47477520.

The previous prime is 73977187. The next prime is 73977227. The reversal of 73977201 is 10277937.

The square root of 73977201 is 8601.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2405601 + 71571600 = 1551^2 + 8460^2 .

It is not a de Polignac number, because 73977201 - 2⁷ = 73977073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73972201) 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 26 ways as a sum of consecutive naturals, for example, 1212711 + ... + 1212771.

Almost surely, 2^73977201 is an apocalyptic number.

73977201 is the 8601-st square number.

73977201 is the 4301-st centered octagonal number.

It is an amenable number.

73977201 is a deficient number, since it is larger than the sum of its proper divisors (37019802).

73977201 is an equidigital number, since it uses as much as digits as its factorization.

73977201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The cubic root of 73977201 is about 419.7905247932.

Multiplying 73977201 by its sum of digits (36), we get a square (2663179236 = 51606²).

The spelling of 73977201 in words is "seventy-three million, nine hundred seventy-seven thousand, two hundred one".