72546969600 has 1728 divisors, whose sum is σ = 332697456000. Its totient is φ = 15606743040.

The previous prime is 72546969553. The next prime is 72546969601. The reversal of 72546969600 is 696964527.

72546969600 is a `hidden beast` number, since 7 + 2 + 546 + 9 + 6 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (72546969601) 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 143 ways as a sum of consecutive naturals, for example, 4267468792 + ... + 4267468808.

It is an arithmetic number, because the mean of its divisors is an integer number (192533250).

Almost surely, 2^72546969600 is an apocalyptic number.

72546969600 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 72546969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166348728000).

72546969600 is an abundant number, since it is smaller than the sum of its proper divisors (260150486400).

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

72546969600 is an equidigital number, since it uses as much as digits as its factorization.

72546969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 72546969600 in words is "seventy-two billion, five hundred forty-six million, nine hundred sixty-nine thousand, six hundred".