72635472 has 240 divisors, whose sum is σ = 262149888. Its totient is φ = 18247680.

The previous prime is 72635467. The next prime is 72635473. The reversal of 72635472 is 27453627.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72635473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301272 + ... + 301512.

Almost surely, 2^72635472 is an apocalyptic number.

72635472 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 72635472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131074944).

72635472 is an abundant number, since it is smaller than the sum of its proper divisors (189514416).

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

72635472 is a wasteful number, since it uses less digits than its factorization.

72635472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

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

The square root of 72635472 is about 8522.6446599632. The cubic root of 72635472 is about 417.2371027079.

The spelling of 72635472 in words is "seventy-two million, six hundred thirty-five thousand, four hundred seventy-two".