72342752 has 48 divisors (see below), whose sum is σ = 153008352. Its totient is φ = 33546240.

The previous prime is 72342707. The next prime is 72342757. The reversal of 72342752 is 25724327.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72342757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37688 + ... + 39560.

It is an arithmetic number, because the mean of its divisors is an integer number (3187674).

Almost surely, 2^72342752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72342752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76504176).

72342752 is an abundant number, since it is smaller than the sum of its proper divisors (80665600).

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

72342752 is a wasteful number, since it uses less digits than its factorization.

72342752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1963 counting only the distinct ones).

The product of its digits is 23520, while the sum is 32.

The square root of 72342752 is about 8505.4542500680. The cubic root of 72342752 is about 416.6758614149.

The spelling of 72342752 in words is "seventy-two million, three hundred forty-two thousand, seven hundred fifty-two".