53379072 has 96 divisors (see below), whose sum is σ = 155055810. Its totient is φ = 17694720.

The previous prime is 53379071. The next prime is 53379083. The reversal of 53379072 is 27097335.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 53231616 + 147456 = 7296^2 + 384^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (53379071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294822 + ... + 295002.

Almost surely, 2^53379072 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 53379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77527905).

53379072 is an abundant number, since it is smaller than the sum of its proper divisors (101676738).

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

53379072 is an equidigital number, since it uses as much as digits as its factorization.

53379072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 53379072 is about 7306.0982747291. The cubic root of 53379072 is about 376.5219851397.

The spelling of 53379072 in words is "fifty-three million, three hundred seventy-nine thousand, seventy-two".