72200632 has 64 divisors (see below), whose sum is σ = 165240000. Its totient is φ = 28870656.

The previous prime is 72200629. The next prime is 72200651. The reversal of 72200632 is 23600227.

It is a super-2 number, since 2×72200632² = 10425862522398848, which contains 22 as substring.

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, 141594 + ... + 142102.

It is an arithmetic number, because the mean of its divisors is an integer number (2581875).

Almost surely, 2^72200632 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 72200632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82620000).

72200632 is an abundant number, since it is smaller than the sum of its proper divisors (93039368).

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

72200632 is a wasteful number, since it uses less digits than its factorization.

72200632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 72200632 is about 8497.0955037589. The cubic root of 72200632 is about 416.4028241822.

Adding to 72200632 its reverse (23600227), we get a palindrome (95800859).

It can be divided in two parts, 72 and 200632, that added together give a square (200704 = 448²).

The spelling of 72200632 in words is "seventy-two million, two hundred thousand, six hundred thirty-two".