72542201400 has 384 divisors, whose sum is σ = 264090240000. Its totient is φ = 18251827200.

The previous prime is 72542201387. The next prime is 72542201429. The reversal of 72542201400 is 410224527.

72542201400 is a `hidden beast` number, since 7 + 2 + 54 + 2 + 201 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27803296 + ... + 27805904.

It is an arithmetic number, because the mean of its divisors is an integer number (687735000).

Almost surely, 2^72542201400 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 72542201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132045120000).

72542201400 is an abundant number, since it is smaller than the sum of its proper divisors (191548038600).

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

72542201400 is a wasteful number, since it uses less digits than its factorization.

72542201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 72542201400 its reverse (410224527), we get a palindrome (72952425927).

The spelling of 72542201400 in words is "seventy-two billion, five hundred forty-two million, two hundred one thousand, four hundred".