72780444 has 84 divisors (see below), whose sum is σ = 208413240. Its totient is φ = 22044960.

The previous prime is 72780427. The next prime is 72780457. The reversal of 72780444 is 44408727.

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

It is a junction number, because it is equal to n+sod(n) for n = 72780399 and 72780408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 30942 + ... + 33210.

It is an arithmetic number, because the mean of its divisors is an integer number (2481110).

Almost surely, 2^72780444 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 72780444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104206620).

72780444 is an abundant number, since it is smaller than the sum of its proper divisors (135632796).

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

72780444 is a wasteful number, since it uses less digits than its factorization.

72780444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 72780444 is about 8531.1455268328. The cubic root of 72780444 is about 417.5145039005.

The spelling of 72780444 in words is "seventy-two million, seven hundred eighty thousand, four hundred forty-four".