72305400 has 96 divisors (see below), whose sum is σ = 230275440. Its totient is φ = 18754560.

The previous prime is 72305383. The next prime is 72305407. The reversal of 72305400 is 450327.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72305407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20572 + ... + 23828.

Almost surely, 2^72305400 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 72305400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115137720).

72305400 is an abundant number, since it is smaller than the sum of its proper divisors (157970040).

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

72305400 is a wasteful number, since it uses less digits than its factorization.

72305400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 72305400 is about 8503.2581990670. The cubic root of 72305400 is about 416.6041363942.

Adding to 72305400 its reverse (450327), we get a palindrome (72755727).

The spelling of 72305400 in words is "seventy-two million, three hundred five thousand, four hundred".