72714300 has 72 divisors (see below), whose sum is σ = 211819776. Its totient is φ = 19258560.

The previous prime is 72714289. The next prime is 72714307. The reversal of 72714300 is 341727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72714307) 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 23 ways as a sum of consecutive naturals, for example, 48157 + ... + 49643.

Almost surely, 2^72714300 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 72714300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105909888).

72714300 is an abundant number, since it is smaller than the sum of its proper divisors (139105476).

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

72714300 is a wasteful number, since it uses less digits than its factorization.

72714300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 72714300 is about 8527.2680267481. The cubic root of 72714300 is about 417.3879843392.

The spelling of 72714300 in words is "seventy-two million, seven hundred fourteen thousand, three hundred".