1672209252 has 192 divisors, whose sum is σ = 5189184000. Its totient is φ = 455583744.

The previous prime is 1672209239. The next prime is 1672209283. The reversal of 1672209252 is 2529022761.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1950808 + ... + 1951664.

It is an arithmetic number, because the mean of its divisors is an integer number (27027000).

Almost surely, 2^1672209252 is an apocalyptic number.

1672209252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1672209252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594592000).

1672209252 is an abundant number, since it is smaller than the sum of its proper divisors (3516974748).

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

1672209252 is a wasteful number, since it uses less digits than its factorization.

1672209252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1672209252 is about 40892.6552329388. The cubic root of 1672209252 is about 1186.9439395778.

The spelling of 1672209252 in words is "one billion, six hundred seventy-two million, two hundred nine thousand, two hundred fifty-two".