72530771376 has 120 divisors (see below), whose sum is σ = 218084694960. Its totient is φ = 20711448576.

The previous prime is 72530771359. The next prime is 72530771381. The reversal of 72530771376 is 67317703527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 4736340 + ... + 4751628.

It is an arithmetic number, because the mean of its divisors is an integer number (1817372458).

Almost surely, 2^72530771376 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 72530771376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109042347480).

72530771376 is an abundant number, since it is smaller than the sum of its proper divisors (145553923584).

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

72530771376 is a wasteful number, since it uses less digits than its factorization.

72530771376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17331 (or 17318 counting only the distinct ones).

The product of its (nonzero) digits is 1296540, while the sum is 48.

The spelling of 72530771376 in words is "seventy-two billion, five hundred thirty million, seven hundred seventy-one thousand, three hundred seventy-six".