20475972 has 72 divisors (see below), whose sum is σ = 58443840. Its totient is φ = 5987520.

The previous prime is 20475971. The next prime is 20476019. The reversal of 20475972 is 27957402.

20475972 is a `hidden beast` number, since 20 + 47 + 597 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20475971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10593 + ... + 12375.

It is an arithmetic number, because the mean of its divisors is an integer number (811720).

Almost surely, 2^20475972 is an apocalyptic number.

20475972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20475972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29221920).

20475972 is an abundant number, since it is smaller than the sum of its proper divisors (37967868).

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

20475972 is a wasteful number, since it uses less digits than its factorization.

20475972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 20475972 is about 4525.0383423790. The cubic root of 20475972 is about 273.5782133570.

It can be divided in two parts, 204 and 75972, that added together give a square (76176 = 276²).

The spelling of 20475972 in words is "twenty million, four hundred seventy-five thousand, nine hundred seventy-two".