54034272 has 72 divisors (see below), whose sum is σ = 154378224. Its totient is φ = 17927424.

The previous prime is 54034261. The next prime is 54034283. The reversal of 54034272 is 27243045.

It is an interprime number because it is at equal distance from previous prime (54034261) and next prime (54034283).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107173 + ... + 107675.

It is an arithmetic number, because the mean of its divisors is an integer number (2144142).

Almost surely, 2^54034272 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 54034272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77189112).

54034272 is an abundant number, since it is smaller than the sum of its proper divisors (100343952).

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

54034272 is a wasteful number, since it uses less digits than its factorization.

54034272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 54034272 is about 7350.8007727050. The cubic root of 54034272 is about 378.0562610471.

The spelling of 54034272 in words is "fifty-four million, thirty-four thousand, two hundred seventy-two".