72195400 has 24 divisors (see below), whose sum is σ = 167854770. Its totient is φ = 28878080.

The previous prime is 72195353. The next prime is 72195401. The reversal of 72195400 is 459127.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 42536484 + 29658916 = 6522^2 + 5446^2 .

It is not an unprimeable number, because it can be changed into a prime (72195401) 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, 180289 + ... + 180688.

Almost surely, 2^72195400 is an apocalyptic number.

It is an amenable number.

72195400 is an abundant number, since it is smaller than the sum of its proper divisors (95659370).

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

72195400 is a wasteful number, since it uses less digits than its factorization.

72195400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360993 (or 360984 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 72195400 is about 8496.7876282746. The cubic root of 72195400 is about 416.3927657651.

The spelling of 72195400 in words is "seventy-two million, one hundred ninety-five thousand, four hundred".