72466059432 has 128 divisors (see below), whose sum is σ = 205532812800. Its totient is φ = 21106904832.

The previous prime is 72466059431. The next prime is 72466059461. The reversal of 72466059432 is 23495066427.

It is a super-4 number, since 4×72466059432⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (72466059431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8787103 + ... + 8795345.

It is an arithmetic number, because the mean of its divisors is an integer number (1605725100).

Almost surely, 2^72466059432 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 72466059432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102766406400).

72466059432 is an abundant number, since it is smaller than the sum of its proper divisors (133066753368).

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

72466059432 is a wasteful number, since it uses less digits than its factorization.

72466059432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9767 (or 9763 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 72466059432 in words is "seventy-two billion, four hundred sixty-six million, fifty-nine thousand, four hundred thirty-two".