66157200 has 360 divisors, whose sum is σ = 259054848. Its totient is φ = 15544320.

The previous prime is 66157181. The next prime is 66157211. The reversal of 66157200 is 275166.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×66157200² = 8753550223680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1407577 + ... + 1407623.

Almost surely, 2^66157200 is an apocalyptic number.

66157200 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 66157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129527424).

66157200 is an abundant number, since it is smaller than the sum of its proper divisors (192897648).

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

66157200 is a wasteful number, since it uses less digits than its factorization.

66157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 66157200 is about 8133.7076416601. The cubic root of 66157200 is about 404.4445976286. Note that the first 3 decimals are identical.

The spelling of 66157200 in words is "sixty-six million, one hundred fifty-seven thousand, two hundred".