355872672 has 36 divisors (see below), whose sum is σ = 1012013730. Its totient is φ = 118624128.

The previous prime is 355872637. The next prime is 355872677. The reversal of 355872672 is 276278553.

355872672 is a `hidden beast` number, since 3 + 5 + 587 + 2 + 67 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 349091856 + 6780816 = 18684^2 + 2604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (355872677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 617547 + ... + 618122.

Almost surely, 2^355872672 is an apocalyptic number.

355872672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

355872672 is an abundant number, since it is smaller than the sum of its proper divisors (656141058).

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

355872672 is a wasteful number, since it uses less digits than its factorization.

355872672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235685 (or 1235674 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 355872672 is about 18864.5877771024. The cubic root of 355872672 is about 708.6496001041.

The spelling of 355872672 in words is "three hundred fifty-five million, eight hundred seventy-two thousand, six hundred seventy-two".