72968046 has 16 divisors (see below), whose sum is σ = 154520784. Its totient is φ = 22891904.

The previous prime is 72968023. The next prime is 72968047. The reversal of 72968046 is 64086927.

It is a junction number, because it is equal to n+sod(n) for n = 72967989 and 72968007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72968047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357585 + ... + 357788.

It is an arithmetic number, because the mean of its divisors is an integer number (9657549).

Almost surely, 2^72968046 is an apocalyptic number.

72968046 is an abundant number, since it is smaller than the sum of its proper divisors (81552738).

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

72968046 is a wasteful number, since it uses less digits than its factorization.

72968046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715395.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 72968046 is about 8542.1335742307. The cubic root of 72968046 is about 417.8729305536.

The spelling of 72968046 in words is "seventy-two million, nine hundred sixty-eight thousand, forty-six".