72552775680 has 1280 divisors, whose sum is σ = 328861969920. Its totient is φ = 14863564800.

The previous prime is 72552775663. The next prime is 72552775697. The reversal of 72552775680 is 8657725527.

72552775680 is a `hidden beast` number, since 7 + 2 + 5 + 5 + 2 + 77 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72552775663) and next prime (72552775697).

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1021870045 + ... + 1021870115.

It is an arithmetic number, because the mean of its divisors is an integer number (256923414).

Almost surely, 2^72552775680 is an apocalyptic number.

72552775680 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 72552775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164430984960).

72552775680 is an abundant number, since it is smaller than the sum of its proper divisors (256309194240).

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

72552775680 is an equidigital number, since it uses as much as digits as its factorization.

72552775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 72552775680 in words is "seventy-two billion, five hundred fifty-two million, seven hundred seventy-five thousand, six hundred eighty".