720252000 has 672 divisors, whose sum is σ = 3007761120. Its totient is φ = 167961600.

The previous prime is 720251963. The next prime is 720252011. The reversal of 720252000 is 252027.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37907991 + ... + 37908009.

It is an arithmetic number, because the mean of its divisors is an integer number (4475835).

Almost surely, 2^720252000 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 720252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503880560).

720252000 is an abundant number, since it is smaller than the sum of its proper divisors (2287509120).

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

720252000 is a wasteful number, since it uses less digits than its factorization.

720252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 720252000 is about 26837.5110619446. The cubic root of 720252000 is about 896.3855032252.

The spelling of 720252000 in words is "seven hundred twenty million, two hundred fifty-two thousand".