72401472 has 224 divisors, whose sum is σ = 250911360. Its totient is φ = 20183040.

The previous prime is 72401471. The next prime is 72401477. The reversal of 72401472 is 27410427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72401471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246958 + ... + 247250.

It is an arithmetic number, because the mean of its divisors is an integer number (1120140).

Almost surely, 2^72401472 is an apocalyptic number.

72401472 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 72401472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125455680).

72401472 is an abundant number, since it is smaller than the sum of its proper divisors (178509888).

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

72401472 is a wasteful number, since it uses less digits than its factorization.

72401472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 72401472 is about 8508.9054525244. The cubic root of 72401472 is about 416.7885683503.

Adding to 72401472 its reverse (27410427), we get a palindrome (99811899).

The spelling of 72401472 in words is "seventy-two million, four hundred one thousand, four hundred seventy-two".