621072 has 60 divisors (see below), whose sum is σ = 1837680. Its totient is φ = 195264.

The previous prime is 621059. The next prime is 621083. The reversal of 621072 is 270126.

It is a happy number.

621072 is nontrivially palindromic in base 15.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2623 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (30628).

2⁶²¹⁰⁷² 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 621072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918840).

621072 is an abundant number, since it is smaller than the sum of its proper divisors (1216608).

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

621072 is a wasteful number, since it uses less digits than its factorization.

621072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 621072 is about 788.0812140890. The cubic root of 621072 is about 85.3193065052.

Adding to 621072 its reverse (270126), we get a palindrome (891198).

The spelling of 621072 in words is "six hundred twenty-one thousand, seventy-two".