53775072 has 144 divisors (see below), whose sum is σ = 168412608. Its totient is φ = 16174080.

The previous prime is 53775061. The next prime is 53775083. The reversal of 53775072 is 27057735.

53775072 is a `hidden beast` number, since 537 + 7 + 50 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (53775061) and next prime (53775083).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198297 + ... + 198567.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 2^53775072 is an apocalyptic number.

53775072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53775072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84206304).

53775072 is an abundant number, since it is smaller than the sum of its proper divisors (114637536).

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

53775072 is a wasteful number, since it uses less digits than its factorization.

53775072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 36.

The square root of 53775072 is about 7333.1488461642. The cubic root of 53775072 is about 377.4507855085.

The spelling of 53775072 in words is "fifty-three million, seven hundred seventy-five thousand, seventy-two".