52803972 has 72 divisors (see below), whose sum is σ = 152222616. Its totient is φ = 15289344.

The previous prime is 52803931. The next prime is 52803977. The reversal of 52803972 is 27930825.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 52794756 = 96^2 + 7266^2 .

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 (52803977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4638 + ... + 11274.

It is an arithmetic number, because the mean of its divisors is an integer number (2114203).

Almost surely, 2^52803972 is an apocalyptic number.

52803972 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 52803972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76111308).

52803972 is an abundant number, since it is smaller than the sum of its proper divisors (99418644).

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

52803972 is a wasteful number, since it uses less digits than its factorization.

52803972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 52803972 is about 7266.6341589487. The cubic root of 52803972 is about 375.1648981456.

The spelling of 52803972 in words is "fifty-two million, eight hundred three thousand, nine hundred seventy-two".