213753672 has 48 divisors (see below), whose sum is σ = 631547280. Its totient is φ = 64773600.

The previous prime is 213753671. The next prime is 213753677. The reversal of 213753672 is 276357312.

213753672 is a `hidden beast` number, since 21 + 37 + 536 + 72 = 666.

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 (213753671) 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, 134154 + ... + 135737.

It is an arithmetic number, because the mean of its divisors is an integer number (13157235).

Almost surely, 2^213753672 is an apocalyptic number.

213753672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213753672 is an abundant number, since it is smaller than the sum of its proper divisors (417793608).

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

213753672 is a wasteful number, since it uses less digits than its factorization.

213753672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269914 (or 269907 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 213753672 is about 14620.3170964244. The cubic root of 213753672 is about 597.9128145136.

The spelling of 213753672 in words is "two hundred thirteen million, seven hundred fifty-three thousand, six hundred seventy-two".