72273456 has 60 divisors (see below), whose sum is σ = 205143120. Its totient is φ = 23748480.

The previous prime is 72273403. The next prime is 72273457. The reversal of 72273456 is 65437227.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72273456.

It is not an unprimeable number, because it can be changed into a prime (72273457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6690 + ... + 13758.

It is an arithmetic number, because the mean of its divisors is an integer number (3419052).

Almost surely, 2^72273456 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 72273456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102571560).

72273456 is an abundant number, since it is smaller than the sum of its proper divisors (132869664).

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

72273456 is a wasteful number, since it uses less digits than its factorization.

72273456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7154 (or 7145 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 72273456 is about 8501.3796527387. The cubic root of 72273456 is about 416.5427764644.

The spelling of 72273456 in words is "seventy-two million, two hundred seventy-three thousand, four hundred fifty-six".