72200128 has 224 divisors, whose sum is σ = 204825600. Its totient is φ = 24837120.

The previous prime is 72200119. The next prime is 72200137. The reversal of 72200128 is 82100227.

It is an interprime number because it is at equal distance from previous prime (72200119) and next prime (72200137).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 72200099 and 72200108.

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 31 ways as a sum of consecutive naturals, for example, 3139125 + ... + 3139147.

It is an arithmetic number, because the mean of its divisors is an integer number (914400).

Almost surely, 2^72200128 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 72200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

72200128 is an abundant number, since it is smaller than the sum of its proper divisors (132625472).

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

72200128 is a wasteful number, since it uses less digits than its factorization.

72200128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 72200128 is about 8497.0658465143. The cubic root of 72200128 is about 416.4018552733.

72200128 divided by its product of nonzero digits (448) gives a palindrome (161161).

Subtracting 72200128 from its reverse (82100227), we obtain a palindrome (9900099).

It can be divided in two parts, 72200 and 128, that multiplied together give a square (9241600 = 3040²).

The spelling of 72200128 in words is "seventy-two million, two hundred thousand, one hundred twenty-eight".