72320671332 has 216 divisors, whose sum is σ = 229545788472. Its totient is φ = 19029427200.

The previous prime is 72320671331. The next prime is 72320671349. The reversal of 72320671332 is 23317602327.

It can be written as a sum of positive squares in 4 ways, for example, as 4140150336 + 68180520996 = 64344^2 + 261114^2 .

It is a super-2 number, since 2×72320671332² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72320671331) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 10568232 + ... + 10575072.

Almost surely, 2^72320671332 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 72320671332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114772894236).

72320671332 is an abundant number, since it is smaller than the sum of its proper divisors (157225117140).

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

72320671332 is a wasteful number, since it uses less digits than its factorization.

72320671332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339 (or 7327 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 72320671332 in words is "seventy-two billion, three hundred twenty million, six hundred seventy-one thousand, three hundred thirty-two".