72744336 has 60 divisors (see below), whose sum is σ = 232669632. Its totient is φ = 20783808.

The previous prime is 72744323. The next prime is 72744337. The reversal of 72744336 is 63344727.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 72744336.

It is not an unprimeable number, because it can be changed into a prime (72744337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35076 + ... + 37091.

Almost surely, 2^72744336 is an apocalyptic number.

It is an amenable number.

72744336 is an abundant number, since it is smaller than the sum of its proper divisors (159925296).

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

72744336 is a wasteful number, since it uses less digits than its factorization.

72744336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72188 (or 72179 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 72744336 is about 8529.0290185929. The cubic root of 72744336 is about 417.4454463960.

The spelling of 72744336 in words is "seventy-two million, seven hundred forty-four thousand, three hundred thirty-six".