54400272 has 80 divisors (see below), whose sum is σ = 150079680. Its totient is φ = 16920576.

The previous prime is 54400261. The next prime is 54400303. The reversal of 54400272 is 27200445.

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

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, 132804 + ... + 133212.

It is an arithmetic number, because the mean of its divisors is an integer number (1875996).

Almost surely, 2^54400272 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 54400272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75039840).

54400272 is an abundant number, since it is smaller than the sum of its proper divisors (95679408).

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

54400272 is a wasteful number, since it uses less digits than its factorization.

54400272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 54400272 is about 7375.6540049002. The cubic root of 54400272 is about 378.9079263855.

The spelling of 54400272 in words is "fifty-four million, four hundred thousand, two hundred seventy-two".