66737172 has 96 divisors (see below), whose sum is σ = 173988864. Its totient is φ = 19814400.

The previous prime is 66737171. The next prime is 66737173. The reversal of 66737172 is 27173766.

66737172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66737171) and next prime (66737173).

It is a self number, because there is not a number n which added to its sum of digits gives 66737172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66737171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385678 + ... + 385850.

It is an arithmetic number, because the mean of its divisors is an integer number (1812384).

Almost surely, 2^66737172 is an apocalyptic number.

66737172 is a gapful number since it is divisible by the number (62) 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 66737172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86994432).

66737172 is an abundant number, since it is smaller than the sum of its proper divisors (107251692).

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

66737172 is a wasteful number, since it uses less digits than its factorization.

66737172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its digits is 74088, while the sum is 39.

The square root of 66737172 is about 8169.2822206116. The cubic root of 66737172 is about 405.6230252364.

The spelling of 66737172 in words is "sixty-six million, seven hundred thirty-seven thousand, one hundred seventy-two".