54072672 has 48 divisors (see below), whose sum is σ = 145252800. Its totient is φ = 17603712.

The previous prime is 54072671. The next prime is 54072703. The reversal of 54072672 is 27627045.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54072671) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2422 + ... + 10677.

It is an arithmetic number, because the mean of its divisors is an integer number (3026100).

Almost surely, 2^54072672 is an apocalyptic number.

It is an amenable number.

54072672 is an abundant number, since it is smaller than the sum of its proper divisors (91180128).

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

54072672 is a wasteful number, since it uses less digits than its factorization.

54072672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13155 (or 13147 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 54072672 is about 7353.4122691442. The cubic root of 54072672 is about 378.1457963382.

The spelling of 54072672 in words is "fifty-four million, seventy-two thousand, six hundred seventy-two".