72535910400 has 576 divisors, whose sum is σ = 269082777600. Its totient is φ = 19151585280.

The previous prime is 72535910393. The next prime is 72535910401. The reversal of 72535910400 is 401953527.

72535910400 is a `hidden beast` number, since 7 + 25 + 3 + 591 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×72535910400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72535910401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189388609 + ... + 189388991.

It is an arithmetic number, because the mean of its divisors is an integer number (467157600).

Almost surely, 2^72535910400 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 72535910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134541388800).

72535910400 is an abundant number, since it is smaller than the sum of its proper divisors (196546867200).

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

72535910400 is a wasteful number, since it uses less digits than its factorization.

72535910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 72535910400 in words is "seventy-two billion, five hundred thirty-five million, nine hundred ten thousand, four hundred".