72249940 has 48 divisors (see below), whose sum is σ = 174972672. Its totient is φ = 24546816.

The previous prime is 72249917. The next prime is 72249941. The reversal of 72249940 is 4994227.

72249940 = 362² + 363² + ... + 641².

It is a self number, because there is not a number n which added to its sum of digits gives 72249940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72249941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13537 + ... + 18103.

It is an arithmetic number, because the mean of its divisors is an integer number (3645264).

Almost surely, 2^72249940 is an apocalyptic number.

72249940 is a gapful number since it is divisible by the number (70) 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 72249940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87486336).

72249940 is an abundant number, since it is smaller than the sum of its proper divisors (102722732).

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

72249940 is a wasteful number, since it uses less digits than its factorization.

72249940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 72249940 is about 8499.9964705875. The cubic root of 72249940 is about 416.4975939817.

The spelling of 72249940 in words is "seventy-two million, two hundred forty-nine thousand, nine hundred forty".