72366000 has 160 divisors (see below), whose sum is σ = 266792448. Its totient is φ = 16531200.

The previous prime is 72365987. The next prime is 72366001. The reversal of 72366000 is 66327.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (72366001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41139 + ... + 42861.

Almost surely, 2^72366000 is an apocalyptic number.

72366000 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 72366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133396224).

72366000 is an abundant number, since it is smaller than the sum of its proper divisors (194426448).

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

72366000 is a wasteful number, since it uses less digits than its factorization.

72366000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 72366000 is about 8506.8207927521. The cubic root of 72366000 is about 416.7204908246.

The spelling of 72366000 in words is "seventy-two million, three hundred sixty-six thousand".