20407072 has 96 divisors (see below), whose sum is σ = 50948352. Its totient is φ = 7839744.

The previous prime is 20407031. The next prime is 20407099. The reversal of 20407072 is 27070402.

It is a super-2 number, since 2×20407072² = 832897175226368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 87468 + ... + 87700.

It is an arithmetic number, because the mean of its divisors is an integer number (530712).

Almost surely, 2^20407072 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 20407072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25474176).

20407072 is an abundant number, since it is smaller than the sum of its proper divisors (30541280).

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

20407072 is a wasteful number, since it uses less digits than its factorization.

20407072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 20407072 is about 4517.4187319752. The cubic root of 20407072 is about 273.2710122970.

Adding to 20407072 its reverse (27070402), we get a palindrome (47477474).

The spelling of 20407072 in words is "twenty million, four hundred seven thousand, seventy-two".