72405300 has 144 divisors (see below), whose sum is σ = 235109952. Its totient is φ = 17049600.

The previous prime is 72405287. The next prime is 72405313. The reversal of 72405300 is 350427.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72405287) and next prime (72405313).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121804 + ... + 122396.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^72405300 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 72405300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554976).

72405300 is an abundant number, since it is smaller than the sum of its proper divisors (162704652).

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

72405300 is a wasteful number, since it uses less digits than its factorization.

72405300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 651 counting only the distinct ones).

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

The square root of 72405300 is about 8509.1303903513. The cubic root of 72405300 is about 416.7959136821.

Adding to 72405300 its reverse (350427), we get a palindrome (72755727).

The spelling of 72405300 in words is "seventy-two million, four hundred five thousand, three hundred".