72395200 has 42 divisors (see below), whose sum is σ = 178141376. Its totient is φ = 28957440.

The previous prime is 72395189. The next prime is 72395201. The reversal of 72395200 is 259327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72395201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21024 + ... + 24223.

Almost surely, 2^72395200 is an apocalyptic number.

It is an amenable number.

72395200 is an abundant number, since it is smaller than the sum of its proper divisors (105746176).

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

72395200 is a wasteful number, since it uses less digits than its factorization.

72395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45269 (or 45254 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 72395200 is about 8508.5368895010. The cubic root of 72395200 is about 416.7765328059.

The spelling of 72395200 in words is "seventy-two million, three hundred ninety-five thousand, two hundred".