72977200 has 30 divisors (see below), whose sum is σ = 175328684. Its totient is φ = 29190720.

The previous prime is 72977197. The next prime is 72977207. The reversal of 72977200 is 277927.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72977207) 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, 90822 + ... + 91621.

Almost surely, 2^72977200 is an apocalyptic number.

It is an amenable number.

72977200 is an abundant number, since it is smaller than the sum of its proper divisors (102351484).

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

72977200 is a wasteful number, since it uses less digits than its factorization.

72977200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182461 (or 182450 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 34.

The square root of 72977200 is about 8542.6693720406. The cubic root of 72977200 is about 417.8904041788.

The spelling of 72977200 in words is "seventy-two million, nine hundred seventy-seven thousand, two hundred".