72553692602160 has 2560 divisors, whose sum is σ = 330668664422400. Its totient is φ = 14181931008000.

The previous prime is 72553692602137. The next prime is 72553692602233. The reversal of 72553692602160 is 6120629635527.

It is a happy number.

72553692602160 is a `hidden beast` number, since 7 + 2 + 5 + 5 + 369 + 2 + 60 + 216 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 72553692602097 and 72553692602106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 61434116770 + ... + 61434117950.

It is an arithmetic number, because the mean of its divisors is an integer number (129167447040).

Almost surely, 2^{72553692602160} is an apocalyptic number.

72553692602160 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 72553692602160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165334332211200).

72553692602160 is an abundant number, since it is smaller than the sum of its proper divisors (258114971820240).

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

72553692602160 is a wasteful number, since it uses less digits than its factorization.

72553692602160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 72553692602160 in words is "seventy-two trillion, five hundred fifty-three billion, six hundred ninety-two million, six hundred two thousand, one hundred sixty".