72790080 has 224 divisors, whose sum is σ = 258519168. Its totient is φ = 17203200.

The previous prime is 72790057. The next prime is 72790093. The reversal of 72790080 is 8009727.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644104 + ... + 644216.

Almost surely, 2^72790080 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 72790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129259584).

72790080 is an abundant number, since it is smaller than the sum of its proper divisors (185729088).

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

72790080 is a wasteful number, since it uses less digits than its factorization.

72790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 72790080 is about 8531.7102623097. The cubic root of 72790080 is about 417.5329291440.

The spelling of 72790080 in words is "seventy-two million, seven hundred ninety thousand, eighty".