72276300 has 90 divisors (see below), whose sum is σ = 234317468. Its totient is φ = 19271520.

The previous prime is 72276289. The next prime is 72276311. The reversal of 72276300 is 367227.

72276300 is a `hidden beast` number, since 7 + 2 + 27 + 630 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72276289) and next prime (72276311).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 3639 + ... + 12561.

Almost surely, 2^72276300 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 72276300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117158734).

72276300 is an abundant number, since it is smaller than the sum of its proper divisors (162041168).

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

72276300 is a wasteful number, since it uses less digits than its factorization.

72276300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8949 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 72276300 is about 8501.5469180614. The cubic root of 72276300 is about 416.5482401213.

The spelling of 72276300 in words is "seventy-two million, two hundred seventy-six thousand, three hundred".