54307872 has 72 divisors (see below), whose sum is σ = 155233260. Its totient is φ = 18009600.

The previous prime is 54307861. The next prime is 54307879. The reversal of 54307872 is 27870345.

It can be written as a sum of positive squares in 2 ways, for example, as 54110736 + 197136 = 7356^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×54307872² = 5898689922336768, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54307879) 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, 77122 + ... + 77822.

Almost surely, 2^54307872 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 54307872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77616630).

54307872 is an abundant number, since it is smaller than the sum of its proper divisors (100925388).

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

54307872 is a wasteful number, since it uses less digits than its factorization.

54307872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 54307872 is about 7369.3874915084. The cubic root of 54307872 is about 378.6932771310.

The spelling of 54307872 in words is "fifty-four million, three hundred seven thousand, eight hundred seventy-two".