66272640 has 128 divisors (see below), whose sum is σ = 241470720. Its totient is φ = 15144960.

The previous prime is 66272639. The next prime is 66272641. The reversal of 66272640 is 4627266.

It is an interprime number because it is at equal distance from previous prime (66272639) and next prime (66272641).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66272641) 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, 10975 + ... + 15905.

It is an arithmetic number, because the mean of its divisors is an integer number (1886490).

Almost surely, 2^66272640 is an apocalyptic number.

66272640 is a gapful number since it is divisible by the number (60) 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 66272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120735360).

66272640 is an abundant number, since it is smaller than the sum of its proper divisors (175198080).

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

66272640 is a wasteful number, since it uses less digits than its factorization.

66272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 66272640 is about 8140.8009433962. The cubic root of 66272640 is about 404.6797040830.

The spelling of 66272640 in words is "sixty-six million, two hundred seventy-two thousand, six hundred forty".