72416372771552 has 144 divisors (see below), whose sum is σ = 154357650397440. Its totient is φ = 33349738286592.

The previous prime is 72416372771537. The next prime is 72416372771563. The reversal of 72416372771552 is 25517727361427.

It is a junction number, because it is equal to n+sod(n) for n = 72416372771491 and 72416372771500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1104498323 + ... + 1104563885.

It is an arithmetic number, because the mean of its divisors is an integer number (1071928127760).

Almost surely, 2^{72416372771552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72416372771552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77178825198720).

72416372771552 is an abundant number, since it is smaller than the sum of its proper divisors (81941277625888).

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

72416372771552 is a wasteful number, since it uses less digits than its factorization.

72416372771552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66993 (or 66948 counting only the distinct ones).

The product of its digits is 34574400, while the sum is 59.

The spelling of 72416372771552 in words is "seventy-two trillion, four hundred sixteen billion, three hundred seventy-two million, seven hundred seventy-one thousand, five hundred fifty-two".