72571700 has 36 divisors (see below), whose sum is σ = 160075692. Its totient is φ = 28550400.

The previous prime is 72571699. The next prime is 72571721. The reversal of 72571700 is 717527.

It can be written as a sum of positive squares in 6 ways, for example, as 559504 + 72012196 = 748^2 + 8486^2 .

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 11 ways as a sum of consecutive naturals, for example, 152 + ... + 12048.

It is an arithmetic number, because the mean of its divisors is an integer number (4446547).

Almost surely, 2^72571700 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 72571700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80037846).

72571700 is an abundant number, since it is smaller than the sum of its proper divisors (87503992).

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

72571700 is a wasteful number, since it uses less digits than its factorization.

72571700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11972 (or 11965 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 29.

The square root of 72571700 is about 8518.9025114741. The cubic root of 72571700 is about 417.1149592857.

The spelling of 72571700 in words is "seventy-two million, five hundred seventy-one thousand, seven hundred".