54190752 has 96 divisors (see below), whose sum is σ = 177375744. Its totient is φ = 14073600.

The previous prime is 54190727. The next prime is 54190757. The reversal of 54190752 is 25709145.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (54190757) 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, 3727 + ... + 11057.

It is an arithmetic number, because the mean of its divisors is an integer number (1847664).

Almost surely, 2^54190752 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 54190752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88687872).

54190752 is an abundant number, since it is smaller than the sum of its proper divisors (123184992).

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

54190752 is a wasteful number, since it uses less digits than its factorization.

54190752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7362 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 54190752 is about 7361.4368162744. The cubic root of 54190752 is about 378.4208520558.

Adding to 54190752 its reverse (25709145), we get a palindrome (79899897).

The spelling of 54190752 in words is "fifty-four million, one hundred ninety thousand, seven hundred fifty-two".