72477468 has 108 divisors (see below), whose sum is σ = 215239752. Its totient is φ = 20502720.

The previous prime is 72477437. The next prime is 72477469. The reversal of 72477468 is 86477427.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72477469) 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 35 ways as a sum of consecutive naturals, for example, 319171 + ... + 319397.

Almost surely, 2^72477468 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 72477468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107619876).

72477468 is an abundant number, since it is smaller than the sum of its proper divisors (142762284).

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

72477468 is a wasteful number, since it uses less digits than its factorization.

72477468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 72477468 is about 8513.3699555464. The cubic root of 72477468 is about 416.9343443377.

The spelling of 72477468 in words is "seventy-two million, four hundred seventy-seven thousand, four hundred sixty-eight".