54801972 has 36 divisors (see below), whose sum is σ = 138780096. Its totient is φ = 18234000.

The previous prime is 54801959. The next prime is 54801979. The reversal of 54801972 is 27910845.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×54801972² = 6006512270177568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54801979) 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 11 ways as a sum of consecutive naturals, for example, 26023 + ... + 28049.

Almost surely, 2^54801972 is an apocalyptic number.

It is an amenable number.

54801972 is an abundant number, since it is smaller than the sum of its proper divisors (83978124).

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

54801972 is a wasteful number, since it uses less digits than its factorization.

54801972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 54801972 is about 7402.8354027359. The cubic root of 54801972 is about 379.8382783675.

The spelling of 54801972 in words is "fifty-four million, eight hundred one thousand, nine hundred seventy-two".