72455400 has 72 divisors (see below), whose sum is σ = 243335430. Its totient is φ = 19320960.

The previous prime is 72455351. The next prime is 72455407. The reversal of 72455400 is 455427.

It can be written as a sum of positive squares in 3 ways, for example, as 64738116 + 7717284 = 8046^2 + 2778^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (72455407) 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 17 ways as a sum of consecutive naturals, for example, 18327 + ... + 21926.

Almost surely, 2^72455400 is an apocalyptic number.

It is an amenable number.

72455400 is an abundant number, since it is smaller than the sum of its proper divisors (170880030).

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

72455400 is a wasteful number, since it uses less digits than its factorization.

72455400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40275 (or 40263 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 72455400 is about 8512.0737778758. The cubic root of 72455400 is about 416.8920238697.

Adding to 72455400 its sum of digits (27), we get a palindrome (72455427).

The spelling of 72455400 in words is "seventy-two million, four hundred fifty-five thousand, four hundred".