72783072 has 144 divisors (see below), whose sum is σ = 223292160. Its totient is φ = 22415616.

The previous prime is 72783059. The next prime is 72783079. The reversal of 72783072 is 27038727.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72783079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257043 + ... + 257325.

It is an arithmetic number, because the mean of its divisors is an integer number (1550640).

Almost surely, 2^72783072 is an apocalyptic number.

72783072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72783072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111646080).

72783072 is an abundant number, since it is smaller than the sum of its proper divisors (150509088).

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

72783072 is a wasteful number, since it uses less digits than its factorization.

72783072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 72783072 is about 8531.2995493067. The cubic root of 72783072 is about 417.5195291282.

The spelling of 72783072 in words is "seventy-two million, seven hundred eighty-three thousand, seventy-two".