166722400 has 288 divisors, whose sum is σ = 496093248. Its totient is φ = 54067200.

The previous prime is 166722389. The next prime is 166722401. The reversal of 166722400 is 4227661.

166722400 = T₄₉₅ + T₄₉₆ + ... + T₁₀₃₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166722401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4066380 + ... + 4066420.

It is an arithmetic number, because the mean of its divisors is an integer number (1722546).

Almost surely, 2^166722400 is an apocalyptic number.

166722400 is a gapful number since it is divisible by the number (10) 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 166722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248046624).

166722400 is an abundant number, since it is smaller than the sum of its proper divisors (329370848).

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

166722400 is a wasteful number, since it uses less digits than its factorization.

166722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 166722400 is about 12912.1028496523. The cubic root of 166722400 is about 550.3825437834.

The spelling of 166722400 in words is "one hundred sixty-six million, seven hundred twenty-two thousand, four hundred".