72006744 has 32 divisors (see below), whose sum is σ = 187845120. Its totient is φ = 22958496.

The previous prime is 72006743. The next prime is 72006799. The reversal of 72006744 is 44760027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72006743) 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, 64672 + ... + 65775.

It is an arithmetic number, because the mean of its divisors is an integer number (5870160).

Almost surely, 2^72006744 is an apocalyptic number.

It is an amenable number.

72006744 is an abundant number, since it is smaller than the sum of its proper divisors (115838376).

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

72006744 is a wasteful number, since it uses less digits than its factorization.

72006744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130479 (or 130475 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 72006744 is about 8485.6787589444. The cubic root of 72006744 is about 416.0297531727.

The spelling of 72006744 in words is "seventy-two million, six thousand, seven hundred forty-four".