353772072 has 48 divisors (see below), whose sum is σ = 961721280. Its totient is φ = 117482400.

The previous prime is 353772071. The next prime is 353772119. The reversal of 353772072 is 270277353.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (353772071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10447 + ... + 28577.

It is an arithmetic number, because the mean of its divisors is an integer number (20035860).

Almost surely, 2^353772072 is an apocalyptic number.

It is an amenable number.

353772072 is an abundant number, since it is smaller than the sum of its proper divisors (607949208).

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

353772072 is a wasteful number, since it uses less digits than its factorization.

353772072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18414 (or 18407 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 36.

The square root of 353772072 is about 18808.8296286611. The cubic root of 353772072 is about 707.2525387436.

The spelling of 353772072 in words is "three hundred fifty-three million, seven hundred seventy-two thousand, seventy-two".