72267314842800 has 960 divisors, whose sum is σ = 322541840286720. Its totient is φ = 14929754112000.

The previous prime is 72267314842777. The next prime is 72267314842813. The reversal of 72267314842800 is 824841376227.

72267314842800 is a `hidden beast` number, since 7 + 2 + 2 + 6 + 73 + 148 + 428 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143615640 + ... + 144117960.

It is an arithmetic number, because the mean of its divisors is an integer number (335981083632).

Almost surely, 2^{72267314842800} is an apocalyptic number.

72267314842800 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 72267314842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161270920143360).

72267314842800 is an abundant number, since it is smaller than the sum of its proper divisors (250274525443920).

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

72267314842800 is a wasteful number, since it uses less digits than its factorization.

72267314842800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502539 (or 502522 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 72267314842800 in words is "seventy-two trillion, two hundred sixty-seven billion, three hundred fourteen million, eight hundred forty-two thousand, eight hundred".