72441400 has 48 divisors (see below), whose sum is σ = 170022600. Its totient is φ = 28702080.

The previous prime is 72441377. The next prime is 72441401. The reversal of 72441400 is 414427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72441401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20139 + ... + 23461.

Almost surely, 2^72441400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85011300).

72441400 is an abundant number, since it is smaller than the sum of its proper divisors (97581200).

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

72441400 is a wasteful number, since it uses less digits than its factorization.

72441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 72441400 is about 8511.2513768541. The cubic root of 72441400 is about 416.8651711930.

Adding to 72441400 its reverse (414427), we get a palindrome (72855827).

It can be divided in two parts, 724 and 41400, that added together give a palindrome (42124).

The spelling of 72441400 in words is "seventy-two million, four hundred forty-one thousand, four hundred".