72128700 has 162 divisors, whose sum is σ = 260818376. Its totient is φ = 16332480.

The previous prime is 72128699. The next prime is 72128701. The reversal of 72128700 is 782127.

72128700 = T₄₅₉ + T₄₆₀ + ... + T₈₀₈.

It is an interprime number because it is at equal distance from previous prime (72128699) and next prime (72128701).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72128701) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 674047 + ... + 674153.

Almost surely, 2^72128700 is an apocalyptic number.

72128700 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72128700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130409188).

72128700 is an abundant number, since it is smaller than the sum of its proper divisors (188689676).

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

72128700 is a wasteful number, since it uses less digits than its factorization.

72128700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 72128700 is about 8492.8617085173. The cubic root of 72128700 is about 416.2644937193.

The spelling of 72128700 in words is "seventy-two million, one hundred twenty-eight thousand, seven hundred".