72294012 has 144 divisors (see below), whose sum is σ = 229824000. Its totient is φ = 19541088.

The previous prime is 72294011. The next prime is 72294043. The reversal of 72294012 is 21049227.

It is a super-2 number, since 2×72294012² = 10452848342112288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72294011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100189 + ... + 100907.

It is an arithmetic number, because the mean of its divisors is an integer number (1596000).

Almost surely, 2^72294012 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 72294012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

72294012 is an abundant number, since it is smaller than the sum of its proper divisors (157529988).

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

72294012 is a wasteful number, since it uses less digits than its factorization.

72294012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72294012 is about 8502.5885470250. The cubic root of 72294012 is about 416.5822637217.

The spelling of 72294012 in words is "seventy-two million, two hundred ninety-four thousand, twelve".