352002672 has 300 divisors, whose sum is σ = 1241791056. Its totient is φ = 95800320.

The previous prime is 352002647. The next prime is 352002689. The reversal of 352002672 is 276200253.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1460472 + ... + 1460712.

Almost surely, 2^352002672 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 352002672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620895528).

352002672 is an abundant number, since it is smaller than the sum of its proper divisors (889788384).

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

352002672 is a wasteful number, since it uses less digits than its factorization.

352002672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 352002672 is about 18761.7342481978. The cubic root of 352002672 is about 706.0714536309.

The spelling of 352002672 in words is "three hundred fifty-two million, two thousand, six hundred seventy-two".