54729216 has 160 divisors (see below), whose sum is σ = 167935680. Its totient is φ = 17584128.

The previous prime is 54729211. The next prime is 54729247. The reversal of 54729216 is 61292745.

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 (54729211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511435 + ... + 511541.

It is an arithmetic number, because the mean of its divisors is an integer number (1049598).

Almost surely, 2^54729216 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 54729216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83967840).

54729216 is an abundant number, since it is smaller than the sum of its proper divisors (113206464).

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

54729216 is a wasteful number, since it uses less digits than its factorization.

54729216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 54729216 is about 7397.9197075935. The cubic root of 54729216 is about 379.6701107415.

It can be divided in two parts, 54729 and 216, that added together give a palindrome (54945).

The spelling of 54729216 in words is "fifty-four million, seven hundred twenty-nine thousand, two hundred sixteen".