20355072 has 48 divisors (see below), whose sum is σ = 54283320. Its totient is φ = 6782976.

The previous prime is 20355067. The next prime is 20355107. The reversal of 20355072 is 27055302.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×20355072² = 828657912250368, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4488 + ... + 7800.

Almost surely, 2^20355072 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 20355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141660).

20355072 is an abundant number, since it is smaller than the sum of its proper divisors (33928248).

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

20355072 is an equidigital number, since it uses as much as digits as its factorization.

20355072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 20355072 is about 4511.6595616247. The cubic root of 20355072 is about 273.0387042765.

The spelling of 20355072 in words is "twenty million, three hundred fifty-five thousand, seventy-two".