54000972 has 24 divisors (see below), whose sum is σ = 140002800. Its totient is φ = 18000288.

The previous prime is 54000971. The next prime is 54001037. The reversal of 54000972 is 27900045.

It is a super-2 number, since 2×54000972² = 5832209953889568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

54000972 is a modest number, since divided by 972 gives 540 as remainder.

It is not an unprimeable number, because it can be changed into a prime (54000971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249897 + ... + 250112.

It is an arithmetic number, because the mean of its divisors is an integer number (5833450).

Almost surely, 2^54000972 is an apocalyptic number.

It is an amenable number.

54000972 is an abundant number, since it is smaller than the sum of its proper divisors (86001828).

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

54000972 is a wasteful number, since it uses less digits than its factorization.

54000972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500022 (or 500014 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 54000972 is about 7348.5353642750. The cubic root of 54000972 is about 377.9785828127.

The spelling of 54000972 in words is "fifty-four million, nine hundred seventy-two", and thus it is an aban number.