72324261072000 has 3072 divisors, whose sum is σ = 316866985344000. Its totient is φ = 16387080192000.

The previous prime is 72324261071929. The next prime is 72324261072013. The reversal of 72324261072000 is 27016242327.

It is a happy number.

72324261072000 is a `hidden beast` number, since 7 + 2 + 32 + 4 + 2 + 610 + 7 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×72324261072000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 257381711860 + ... + 257381712140.

It is an arithmetic number, because the mean of its divisors is an integer number (103146805125).

Almost surely, 2^{72324261072000} is an apocalyptic number.

72324261072000 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 72324261072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158433492672000).

72324261072000 is an abundant number, since it is smaller than the sum of its proper divisors (244542724272000).

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

72324261072000 is an equidigital number, since it uses as much as digits as its factorization.

72324261072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 72324261072000 in words is "seventy-two trillion, three hundred twenty-four billion, two hundred sixty-one million, seventy-two thousand".