72511600 has 240 divisors, whose sum is σ = 221414400. Its totient is φ = 22256640.

The previous prime is 72511589. The next prime is 72511603. The reversal of 72511600 is 611527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72511603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1542777 + ... + 1542823.

It is an arithmetic number, because the mean of its divisors is an integer number (922560).

Almost surely, 2^72511600 is an apocalyptic number.

72511600 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 72511600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110707200).

72511600 is an abundant number, since it is smaller than the sum of its proper divisors (148902800).

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

72511600 is a wasteful number, since it uses less digits than its factorization.

72511600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 72511600 is about 8515.3743311730. The cubic root of 72511600 is about 416.9997833866. Note that the first 3 decimals are identical.

It can be divided in two parts, 725 and 11600, that multiplied together give a square (8410000 = 2900²).

The spelling of 72511600 in words is "seventy-two million, five hundred eleven thousand, six hundred".