72951012 has 72 divisors (see below), whose sum is σ = 196560000. Its totient is φ = 22733568.

The previous prime is 72950989. The next prime is 72951019. The reversal of 72951012 is 21015927.

It is not an unprimeable number, because it can be changed into a prime (72951019) 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, 121489 + ... + 122087.

It is an arithmetic number, because the mean of its divisors is an integer number (2730000).

Almost surely, 2^72951012 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 72951012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280000).

72951012 is an abundant number, since it is smaller than the sum of its proper divisors (123608988).

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

72951012 is a wasteful number, since it uses less digits than its factorization.

72951012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 72951012 is about 8541.1364583409. The cubic root of 72951012 is about 417.8404112896.

Adding to 72951012 its reverse (21015927), we get a palindrome (93966939).

The spelling of 72951012 in words is "seventy-two million, nine hundred fifty-one thousand, twelve".