72985346 has 64 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 27967680.

The previous prime is 72985343. The next prime is 72985351. The reversal of 72985346 is 64358927.

It is a super-4 number, since 4×72985346⁴ (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72985297 and 72985306.

It is not an unprimeable number, because it can be changed into a prime (72985343) 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 31 ways as a sum of consecutive naturals, for example, 436955 + ... + 437121.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2^72985346 is an apocalyptic number.

72985346 is a deficient number, since it is larger than the sum of its proper divisors (66360574).

72985346 is a wasteful number, since it uses less digits than its factorization.

72985346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279.

The product of its digits is 362880, while the sum is 44.

The square root of 72985346 is about 8543.1461417911. The cubic root of 72985346 is about 417.9059524532.

The spelling of 72985346 in words is "seventy-two million, nine hundred eighty-five thousand, three hundred forty-six".