72287970 has 64 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 17668800.

The previous prime is 72287953. The next prime is 72287977. The reversal of 72287970 is 7978227.

It is a super-3 number, since 3×72287970³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72287977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15625 + ... + 19715.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2^72287970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72287970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

72287970 is an abundant number, since it is smaller than the sum of its proper divisors (116271390).

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

72287970 is a wasteful number, since it uses less digits than its factorization.

72287970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151.

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 72287970 is about 8502.2332360386. The cubic root of 72287970 is about 416.5706580571.

The spelling of 72287970 in words is "seventy-two million, two hundred eighty-seven thousand, nine hundred seventy".