42732900 has 432 divisors, whose sum is σ = 178113600. Its totient is φ = 8709120.

The previous prime is 42732889. The next prime is 42732901. The reversal of 42732900 is 923724.

It is a super-2 number, since 2×42732900² = 3652201484820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42732901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2249091 + ... + 2249109.

It is an arithmetic number, because the mean of its divisors is an integer number (412300).

Almost surely, 2^42732900 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 42732900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89056800).

42732900 is an abundant number, since it is smaller than the sum of its proper divisors (135380700).

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

42732900 is a wasteful number, since it uses less digits than its factorization.

42732900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 42732900 is about 6537.0406148348. The cubic root of 42732900 is about 349.6129053704.

The spelling of 42732900 in words is "forty-two million, seven hundred thirty-two thousand, nine hundred".