72655180416 has 1152 divisors, whose sum is σ = 287392996800. Its totient is φ = 18059231232.

The previous prime is 72655180387. The next prime is 72655180427. The reversal of 72655180416 is 61408155627.

72655180416 is a `hidden beast` number, since 7 + 2 + 6 + 55 + 180 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 376451616 + ... + 376451808.

Almost surely, 2^72655180416 is an apocalyptic number.

72655180416 is a gapful number since it is divisible by the number (76) 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 72655180416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143696498400).

72655180416 is an abundant number, since it is smaller than the sum of its proper divisors (214737816384).

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

72655180416 is a wasteful number, since it uses less digits than its factorization.

72655180416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 72655180416 in words is "seventy-two billion, six hundred fifty-five million, one hundred eighty thousand, four hundred sixteen".