54036072 has 40 divisors (see below), whose sum is σ = 151352850. Its totient is φ = 18011808.

The previous prime is 54036061. The next prime is 54036091. The reversal of 54036072 is 27063045.

It is a happy number.

54036072 is a `hidden beast` number, since 54 + 0 + 3 + 607 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46049796 + 7986276 = 6786^2 + 2826^2 .

It is a super-3 number, since 3×54036072³ (a number of 24 digits) contains 333 as substring.

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

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 9 ways as a sum of consecutive naturals, for example, 41047 + ... + 42342.

Almost surely, 2^54036072 is an apocalyptic number.

It is an amenable number.

54036072 is an abundant number, since it is smaller than the sum of its proper divisors (97316778).

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

54036072 is a wasteful number, since it uses less digits than its factorization.

54036072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83407 (or 83394 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 54036072 is about 7350.9232073257. The cubic root of 54036072 is about 378.0604589613.

The spelling of 54036072 in words is "fifty-four million, thirty-six thousand, seventy-two".