52729920 has 224 divisors, whose sum is σ = 197510400. Its totient is φ = 13197312.

The previous prime is 52729913. The next prime is 52729927. The reversal of 52729920 is 2992725.

It is an interprime number because it is at equal distance from previous prime (52729913) and next prime (52729927).

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 (52729927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146701 + ... + 147059.

Almost surely, 2^52729920 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 52729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98755200).

52729920 is an abundant number, since it is smaller than the sum of its proper divisors (144780480).

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

52729920 is a wasteful number, since it uses less digits than its factorization.

52729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 52729920 is about 7261.5370273793. The cubic root of 52729920 is about 374.9894397026.

The spelling of 52729920 in words is "fifty-two million, seven hundred twenty-nine thousand, nine hundred twenty".