72348408 has 96 divisors (see below), whose sum is σ = 215429760. Its totient is φ = 21752640.

The previous prime is 72348401. The next prime is 72348443. The reversal of 72348408 is 80484327.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72348401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131991 + ... + 132537.

It is an arithmetic number, because the mean of its divisors is an integer number (2244060).

Almost surely, 2^72348408 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 72348408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107714880).

72348408 is an abundant number, since it is smaller than the sum of its proper divisors (143081352).

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

72348408 is a wasteful number, since it uses less digits than its factorization.

72348408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 72348408 is about 8505.7867360991. The cubic root of 72348408 is about 416.6867201726.

The spelling of 72348408 in words is "seventy-two million, three hundred forty-eight thousand, four hundred eight".