54429072 has 80 divisors (see below), whose sum is σ = 152103360. Its totient is φ = 16713216.

The previous prime is 54429071. The next prime is 54429073. The reversal of 54429072 is 27092445.

It is an interprime number because it is at equal distance from previous prime (54429071) and next prime (54429073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54429071) 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, 32938 + ... + 34550.

It is an arithmetic number, because the mean of its divisors is an integer number (1901292).

Almost surely, 2^54429072 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 54429072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76051680).

54429072 is an abundant number, since it is smaller than the sum of its proper divisors (97674288).

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

54429072 is a wasteful number, since it uses less digits than its factorization.

54429072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 54429072 is about 7377.6061158075. The cubic root of 54429072 is about 378.9747803595.

The spelling of 54429072 in words is "fifty-four million, four hundred twenty-nine thousand, seventy-two".