72036518400 has 960 divisors, whose sum is σ = 329774607360. Its totient is φ = 14963097600.

The previous prime is 72036518353. The next prime is 72036518417. The reversal of 72036518400 is 481563027.

72036518400 is a `hidden beast` number, since 72 + 0 + 36 + 518 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26609847 + ... + 26612553.

It is an arithmetic number, because the mean of its divisors is an integer number (343515216).

Almost surely, 2^72036518400 is an apocalyptic number.

72036518400 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 72036518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164887303680).

72036518400 is an abundant number, since it is smaller than the sum of its proper divisors (257738088960).

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

72036518400 is a wasteful number, since it uses less digits than its factorization.

72036518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 72036518400 in words is "seventy-two billion, thirty-six million, five hundred eighteen thousand, four hundred".