53049672 has 144 divisors (see below), whose sum is σ = 164340540. Its totient is φ = 15365376.

The previous prime is 53049631. The next prime is 53049719. The reversal of 53049672 is 27694035.

It can be written as a sum of positive squares in 2 ways, for example, as 48358116 + 4691556 = 6954^2 + 2166^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 337818 + ... + 337974.

Almost surely, 2^53049672 is an apocalyptic number.

53049672 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 53049672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82170270).

53049672 is an abundant number, since it is smaller than the sum of its proper divisors (111290868).

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

53049672 is a wasteful number, since it uses less digits than its factorization.

53049672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 53049672 is about 7283.5205773033. The cubic root of 53049672 is about 375.7458860935.

The spelling of 53049672 in words is "fifty-three million, forty-nine thousand, six hundred seventy-two".