72055526400 has 1320 divisors, whose sum is σ = 314748750624. Its totient is φ = 16124313600.

The previous prime is 72055526393. The next prime is 72055526407. The reversal of 72055526400 is 462555027.

72055526400 is a `hidden beast` number, since 7 + 2 + 0 + 5 + 5 + 5 + 2 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72055526393) and next prime (72055526407).

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-3 number, since 3×72055526400³ (a number of 34 digits) contains 333 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 (72055526407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5542732794 + ... + 5542732806.

Almost surely, 2^72055526400 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 72055526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157374375312).

72055526400 is an abundant number, since it is smaller than the sum of its proper divisors (242693224224).

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

72055526400 is an equidigital number, since it uses as much as digits as its factorization.

72055526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 72055526400 in words is "seventy-two billion, fifty-five million, five hundred twenty-six thousand, four hundred".