66872832 has 160 divisors (see below), whose sum is σ = 204174432. Its totient is φ = 19267584.

The previous prime is 66872831. The next prime is 66872833. The reversal of 66872832 is 23827866.

It is an interprime number because it is at equal distance from previous prime (66872831) and next prime (66872833).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66872831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339358 + ... + 339554.

Almost surely, 2^66872832 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 66872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102087216).

66872832 is an abundant number, since it is smaller than the sum of its proper divisors (137301600).

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

66872832 is a wasteful number, since it uses less digits than its factorization.

66872832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 66872832 is about 8177.5810604359. The cubic root of 66872832 is about 405.8976826462.

The spelling of 66872832 in words is "sixty-six million, eight hundred seventy-two thousand, eight hundred thirty-two".