72122400 has 432 divisors, whose sum is σ = 307105344. Its totient is φ = 16174080.

The previous prime is 72122389. The next prime is 72122431. The reversal of 72122400 is 422127.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1360774 + ... + 1360826.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 2^72122400 is an apocalyptic number.

72122400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

72122400 is an abundant number, since it is smaller than the sum of its proper divisors (234982944).

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

72122400 is a wasteful number, since it uses less digits than its factorization.

72122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 72122400 is about 8492.4908007015. The cubic root of 72122400 is about 416.2523739821.

Adding to 72122400 its reverse (422127), we get a palindrome (72544527).

The spelling of 72122400 in words is "seventy-two million, one hundred twenty-two thousand, four hundred".