705372150 has 144 divisors (see below), whose sum is σ = 2142452160. Its totient is φ = 152712000.

The previous prime is 705372127. The next prime is 705372163. The reversal of 705372150 is 51273507.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137125 + ... + 142175.

It is an arithmetic number, because the mean of its divisors is an integer number (14878140).

Almost surely, 2^705372150 is an apocalyptic number.

705372150 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 705372150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071226080).

705372150 is an abundant number, since it is smaller than the sum of its proper divisors (1437080010).

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

705372150 is a wasteful number, since it uses less digits than its factorization.

705372150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 705372150 is about 26558.8431600475. The cubic root of 705372150 is about 890.1696221751.

The spelling of 705372150 in words is "seven hundred five million, three hundred seventy-two thousand, one hundred fifty".