72354736 has 20 divisors (see below), whose sum is σ = 147566200. Its totient is φ = 34273152.

The previous prime is 72354731. The next prime is 72354743. The reversal of 72354736 is 63745327.

It is a junction number, because it is equal to n+sod(n) for n = 72354695 and 72354704.

It is not an unprimeable number, because it can be changed into a prime (72354731) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118701 + ... + 119308.

It is an arithmetic number, because the mean of its divisors is an integer number (7378310).

Almost surely, 2^72354736 is an apocalyptic number.

72354736 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

72354736 is an abundant number, since it is smaller than the sum of its proper divisors (75211464).

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

72354736 is a wasteful number, since it uses less digits than its factorization.

72354736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238036 (or 238030 counting only the distinct ones).

The product of its digits is 105840, while the sum is 37.

The square root of 72354736 is about 8506.1587100171. The cubic root of 72354736 is about 416.6988684090.

The spelling of 72354736 in words is "seventy-two million, three hundred fifty-four thousand, seven hundred thirty-six".