72666432 has 168 divisors, whose sum is σ = 227164392. Its totient is φ = 22118400.

The previous prime is 72666403. The next prime is 72666437. The reversal of 72666432 is 23466627.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 72182016 = 696^2 + 8496^2 .

It is a super-2 number, since 2×72666432² = 10560820679221248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72666437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401382 + ... + 401562.

It is an arithmetic number, because the mean of its divisors is an integer number (1352169).

Almost surely, 2^72666432 is an apocalyptic number.

72666432 is a gapful number since it is divisible by the number (72) 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 72666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113582196).

72666432 is an abundant number, since it is smaller than the sum of its proper divisors (154497960).

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

72666432 is a wasteful number, since it uses less digits than its factorization.

72666432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 72666432 is about 8524.4608040626. The cubic root of 72666432 is about 417.2963750600.

The spelling of 72666432 in words is "seventy-two million, six hundred sixty-six thousand, four hundred thirty-two".