72030400 has 84 divisors (see below), whose sum is σ = 190928752. Its totient is φ = 26588160.

The previous prime is 72030397. The next prime is 72030401. The reversal of 72030400 is 403027.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (72030401) 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, 19069 + ... + 22531.

Almost surely, 2^72030400 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 72030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95464376).

72030400 is an abundant number, since it is smaller than the sum of its proper divisors (118898352).

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

72030400 is a wasteful number, since it uses less digits than its factorization.

72030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 72030400 is about 8487.0725223719. The cubic root of 72030400 is about 416.0753068795.

Adding to 72030400 its reverse (403027), we get a palindrome (72433427).

The spelling of 72030400 in words is "seventy-two million, thirty thousand, four hundred".