72253944 has 160 divisors (see below), whose sum is σ = 245155680. Its totient is φ = 19408896.

The previous prime is 72253921. The next prime is 72253949. The reversal of 72253944 is 44935227.

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 = 72253899 and 72253908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72253949) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76644 + ... + 77580.

It is an arithmetic number, because the mean of its divisors is an integer number (1532223).

Almost surely, 2^72253944 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 72253944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122577840).

72253944 is an abundant number, since it is smaller than the sum of its proper divisors (172901736).

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

72253944 is a wasteful number, since it uses less digits than its factorization.

72253944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 966 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 72253944 is about 8500.2319968340. The cubic root of 72253944 is about 416.5052877623.

It can be divided in two parts, 72 and 253944, that added together give a square (254016 = 504²).

The spelling of 72253944 in words is "seventy-two million, two hundred fifty-three thousand, nine hundred forty-four".