72406400 has 192 divisors, whose sum is σ = 208312560. Its totient is φ = 24780800.

The previous prime is 72406391. The next prime is 72406403. The reversal of 72406400 is 460427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72406403) 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, 4259192 + ... + 4259208.

Almost surely, 2^72406400 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 72406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104156280).

72406400 is an abundant number, since it is smaller than the sum of its proper divisors (135906160).

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

72406400 is a wasteful number, since it uses less digits than its factorization.

72406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 72406400 is about 8509.1950265580. The cubic root of 72406400 is about 416.7980243618.

Adding to 72406400 its reverse (460427), we get a palindrome (72866827).

The spelling of 72406400 in words is "seventy-two million, four hundred six thousand, four hundred".