72003672 has 96 divisors (see below), whose sum is σ = 215014800. Its totient is φ = 21627648.

The previous prime is 72003661. The next prime is 72003691. The reversal of 72003672 is 27630027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39354 + ... + 41142.

Almost surely, 2^72003672 is an apocalyptic number.

72003672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

72003672 is the 5367-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72003672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107507400).

72003672 is an abundant number, since it is smaller than the sum of its proper divisors (143011128).

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

72003672 is a wasteful number, since it uses less digits than its factorization.

72003672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 72003672 is about 8485.4977461549. The cubic root of 72003672 is about 416.0238367752.

Adding to 72003672 its reverse (27630027), we get a palindrome (99633699).

The spelling of 72003672 in words is "seventy-two million, three thousand, six hundred seventy-two".