72432468 has 72 divisors (see below), whose sum is σ = 194402208. Its totient is φ = 23569056.

The previous prime is 72432439. The next prime is 72432533. The reversal of 72432468 is 86423427.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40930 + ... + 42662.

Almost surely, 2^72432468 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 72432468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97201104).

72432468 is an abundant number, since it is smaller than the sum of its proper divisors (121969740).

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

72432468 is a wasteful number, since it uses less digits than its factorization.

72432468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1781 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 72432468 is about 8510.7266434776. The cubic root of 72432468 is about 416.8480373775.

It can be divided in two parts, 72432 and 468, that added together give a square (72900 = 270²).

The spelling of 72432468 in words is "seventy-two million, four hundred thirty-two thousand, four hundred sixty-eight".