720151200 has 216 divisors, whose sum is σ = 2627761500. Its totient is φ = 185364480.

The previous prime is 720151199. The next prime is 720151213. The reversal of 720151200 is 2151027.

It can be written as a sum of positive squares in 6 ways, for example, as 62536464 + 657614736 = 7908^2 + 25644^2 .

It is a super-2 number, since 2×720151200² = 1037235501722880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 207076 + ... + 210524.

Almost surely, 2^720151200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313880750).

720151200 is an abundant number, since it is smaller than the sum of its proper divisors (1907610300).

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

720151200 is a wasteful number, since it uses less digits than its factorization.

720151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 720151200 is about 26835.6330277488. The cubic root of 720151200 is about 896.3436845866.

The spelling of 720151200 in words is "seven hundred twenty million, one hundred fifty-one thousand, two hundred".