73269072 has 60 divisors (see below), whose sum is σ = 207391860. Its totient is φ = 24144384.

The previous prime is 73269043. The next prime is 73269101. The reversal of 73269072 is 27096237.

It is an interprime number because it is at equal distance from previous prime (73269043) and next prime (73269101).

It can be written as a sum of positive squares in 2 ways, for example, as 27625536 + 45643536 = 5256^2 + 6756^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9958 + ... + 15674.

It is an arithmetic number, because the mean of its divisors is an integer number (3456531).

Almost surely, 2^73269072 is an apocalyptic number.

73269072 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 73269072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103695930).

73269072 is an abundant number, since it is smaller than the sum of its proper divisors (134122788).

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

73269072 is a wasteful number, since it uses less digits than its factorization.

73269072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 73269072 is about 8559.7355099325. The cubic root of 73269072 is about 418.4467800585.

The spelling of 73269072 in words is "seventy-three million, two hundred sixty-nine thousand, seventy-two".