34272720 has 240 divisors, whose sum is σ = 125116992. Its totient is φ = 8709120.

The previous prime is 34272709. The next prime is 34272757. The reversal of 34272720 is 2727243.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797019 + ... + 797061.

Almost surely, 2^34272720 is an apocalyptic number.

34272720 is a gapful number since it is divisible by the number (30) 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 34272720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62558496).

34272720 is an abundant number, since it is smaller than the sum of its proper divisors (90844272).

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

34272720 is a wasteful number, since it uses less digits than its factorization.

34272720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 34272720 is about 5854.2907341539. The cubic root of 34272720 is about 324.8250577220.

Adding to 34272720 its reverse (2727243), we get a palindrome (36999963).

The spelling of 34272720 in words is "thirty-four million, two hundred seventy-two thousand, seven hundred twenty".