54765672 has 64 divisors (see below), whose sum is σ = 148236480. Its totient is φ = 16760832.

The previous prime is 54765671. The next prime is 54765679. The reversal of 54765672 is 27656745.

It is a super-3 number, since 3×54765672³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (54765671) 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 15 ways as a sum of consecutive naturals, for example, 79843 + ... + 80525.

It is an arithmetic number, because the mean of its divisors is an integer number (2316195).

Almost surely, 2^54765672 is an apocalyptic number.

54765672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54765672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74118240).

54765672 is an abundant number, since it is smaller than the sum of its proper divisors (93470808).

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

54765672 is a wasteful number, since it uses less digits than its factorization.

54765672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 54765672 is about 7400.3832333197. The cubic root of 54765672 is about 379.7543934605.

The spelling of 54765672 in words is "fifty-four million, seven hundred sixty-five thousand, six hundred seventy-two".