72011000 has 64 divisors (see below), whose sum is σ = 170333280. Its totient is φ = 28492800.

The previous prime is 72010993. The next prime is 72011021. The reversal of 72011000 is 11027.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106664 + ... + 107336.

Almost surely, 2^72011000 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 72011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85166640).

72011000 is an abundant number, since it is smaller than the sum of its proper divisors (98322280).

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

72011000 is a wasteful number, since it uses less digits than its factorization.

72011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 72011000 is about 8485.9295306996. The cubic root of 72011000 is about 416.0379495705.

Adding to 72011000 its reverse (11027), we get a palindrome (72022027).

The spelling of 72011000 in words is "seventy-two million, eleven thousand".