66787392 has 168 divisors, whose sum is σ = 213116160. Its totient is φ = 18385920.

The previous prime is 66787387. The next prime is 66787397. The reversal of 66787392 is 29378766.

It is an interprime number because it is at equal distance from previous prime (66787387) and next prime (66787397).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (66787397) 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, 291534 + ... + 291762.

Almost surely, 2^66787392 is an apocalyptic number.

66787392 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 66787392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106558080).

66787392 is an abundant number, since it is smaller than the sum of its proper divisors (146328768).

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

66787392 is a wasteful number, since it uses less digits than its factorization.

66787392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 272 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 66787392 is about 8172.3553520390. The cubic root of 66787392 is about 405.7247440650.

The spelling of 66787392 in words is "sixty-six million, seven hundred eighty-seven thousand, three hundred ninety-two".