72035072 has 72 divisors (see below), whose sum is σ = 154035840. Its totient is φ = 33546240.

The previous prime is 72035059. The next prime is 72035107. The reversal of 72035072 is 27053027.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229988 + ... + 230300.

Almost surely, 2^72035072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77017920).

72035072 is an abundant number, since it is smaller than the sum of its proper divisors (82000768).

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

72035072 is a wasteful number, since it uses less digits than its factorization.

72035072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 72035072 is about 8487.3477600485. The cubic root of 72035072 is about 416.0843024416.

Adding to 72035072 its reverse (27053027), we get a palindrome (99088099).

The spelling of 72035072 in words is "seventy-two million, thirty-five thousand, seventy-two".