73535472 has 240 divisors, whose sum is σ = 243635200. Its totient is φ = 21150720.

The previous prime is 73535471. The next prime is 73535479. The reversal of 73535472 is 27453537.

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

Its product of digits (88200) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73535471) 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, 2372097 + ... + 2372127.

Almost surely, 2^73535472 is an apocalyptic number.

73535472 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 73535472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121817600).

73535472 is an abundant number, since it is smaller than the sum of its proper divisors (170099728).

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

73535472 is a wasteful number, since it uses less digits than its factorization.

73535472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 73535472 is about 8575.2826192494. The cubic root of 73535472 is about 418.9533120684.

The spelling of 73535472 in words is "seventy-three million, five hundred thirty-five thousand, four hundred seventy-two".