72432750 has 256 divisors, whose sum is σ = 226437120. Its totient is φ = 15206400.

The previous prime is 72432721. The next prime is 72432751. The reversal of 72432750 is 5723427.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72432751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3149239 + ... + 3149261.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 2^72432750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72432750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

72432750 is an abundant number, since it is smaller than the sum of its proper divisors (154004370).

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

72432750 is a wasteful number, since it uses less digits than its factorization.

72432750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 72432750 is about 8510.7432107895. The cubic root of 72432750 is about 416.8485783458.

The spelling of 72432750 in words is "seventy-two million, four hundred thirty-two thousand, seven hundred fifty".