621420072 has 256 divisors, whose sum is σ = 2032128000. Its totient is φ = 153888768.

The previous prime is 621420053. The next prime is 621420077. The reversal of 621420072 is 270024126.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (621420077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4470579 + ... + 4470717.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2^621420072 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 621420072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064000).

621420072 is an abundant number, since it is smaller than the sum of its proper divisors (1410707928).

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

621420072 is a wasteful number, since it uses less digits than its factorization.

621420072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 621420072 is about 24928.2986182371. The cubic root of 621420072 is about 853.3524223974.

Adding to 621420072 its reverse (270024126), we get a palindrome (891444198).

The spelling of 621420072 in words is "six hundred twenty-one million, four hundred twenty thousand, seventy-two".