54214972 has 72 divisors (see below), whose sum is σ = 119451024. Its totient is φ = 21385728.

The previous prime is 54214969. The next prime is 54214987. The reversal of 54214972 is 27941245.

54214972 = T₁₄₆₃ + T₁₄₆₄ + ... + T₁₅₁₁.

54214972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176443 + ... + 176749.

It is an arithmetic number, because the mean of its divisors is an integer number (1659042).

Almost surely, 2^54214972 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 54214972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59725512).

54214972 is an abundant number, since it is smaller than the sum of its proper divisors (65236052).

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

54214972 is a wasteful number, since it uses less digits than its factorization.

54214972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 54214972 is about 7363.0816917918. The cubic root of 54214972 is about 378.4772207631.

The spelling of 54214972 in words is "fifty-four million, two hundred fourteen thousand, nine hundred seventy-two".