72578671200 has 1728 divisors, whose sum is σ = 336938434560. Its totient is φ = 14306181120.

The previous prime is 72578671199. The next prime is 72578671211. The reversal of 72578671200 is 217687527.

72578671200 is a `hidden beast` number, since 7 + 2 + 578 + 6 + 71 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 571485537 + ... + 571485663.

It is an arithmetic number, because the mean of its divisors is an integer number (194987520).

Almost surely, 2^72578671200 is an apocalyptic number.

72578671200 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 72578671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168469217280).

72578671200 is an abundant number, since it is smaller than the sum of its proper divisors (264359763360).

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

72578671200 is a wasteful number, since it uses less digits than its factorization.

72578671200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 72578671200 in words is "seventy-two billion, five hundred seventy-eight million, six hundred seventy-one thousand, two hundred".