72754526880 has 288 divisors, whose sum is σ = 284082349824. Its totient is φ = 16609701888.

The previous prime is 72754526869. The next prime is 72754526899. The reversal of 72754526880 is 8862545727.

72754526880 is a `hidden beast` number, since 72 + 7 + 545 + 26 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9441109 + ... + 9448811.

It is an arithmetic number, because the mean of its divisors is an integer number (986397048).

Almost surely, 2^72754526880 is an apocalyptic number.

72754526880 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 72754526880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142041174912).

72754526880 is an abundant number, since it is smaller than the sum of its proper divisors (211327822944).

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

72754526880 is a wasteful number, since it uses less digits than its factorization.

72754526880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 72754526880 in words is "seventy-two billion, seven hundred fifty-four million, five hundred twenty-six thousand, eight hundred eighty".