72046080 has 240 divisors, whose sum is σ = 258532560. Its totient is φ = 18530304.

The previous prime is 72046049. The next prime is 72046087. The reversal of 72046080 is 8064027.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72046087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221091 + ... + 1221149.

It is an arithmetic number, because the mean of its divisors is an integer number (1077219).

Almost surely, 2^72046080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129266280).

72046080 is an abundant number, since it is smaller than the sum of its proper divisors (186486480).

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

72046080 is a wasteful number, since it uses less digits than its factorization.

72046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72046080 is about 8487.9962299709. The cubic root of 72046080 is about 416.1054959268.

It can be divided in two parts, 720 and 46080, that multiplied together give a square (33177600 = 5760²).

The spelling of 72046080 in words is "seventy-two million, forty-six thousand, eighty".