721542000 has 160 divisors (see below), whose sum is σ = 2371187520. Its totient is φ = 188697600.

The previous prime is 721541983. The next prime is 721542007. The reversal of 721542000 is 245127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (721542007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316866 + ... + 319134.

It is an arithmetic number, because the mean of its divisors is an integer number (14819922).

Almost surely, 2^721542000 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 721542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185593760).

721542000 is an abundant number, since it is smaller than the sum of its proper divisors (1649645520).

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

721542000 is a wasteful number, since it uses less digits than its factorization.

721542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 721542000 is about 26861.5338355798. The cubic root of 721542000 is about 896.9203380869.

Adding to 721542000 its reverse (245127), we get a palindrome (721787127).

The spelling of 721542000 in words is "seven hundred twenty-one million, five hundred forty-two thousand".