54077472 has 72 divisors (see below), whose sum is σ = 155361024. Its totient is φ = 17841024.

The previous prime is 54077467. The next prime is 54077473. The reversal of 54077472 is 27477045.

It is a happy number.

54077472 is a `hidden beast` number, since 540 + 77 + 47 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (54077473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28753 + ... + 30575.

It is an arithmetic number, because the mean of its divisors is an integer number (2157792).

Almost surely, 2^54077472 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 54077472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77680512).

54077472 is an abundant number, since it is smaller than the sum of its proper divisors (101283552).

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

54077472 is a wasteful number, since it uses less digits than its factorization.

54077472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 54077472 is about 7353.7386409907. The cubic root of 54077472 is about 378.1569852687.

The spelling of 54077472 in words is "fifty-four million, seventy-seven thousand, four hundred seventy-two".