72349416 has 192 divisors, whose sum is σ = 228408000. Its totient is φ = 21150720.

The previous prime is 72349411. The next prime is 72349423. The reversal of 72349416 is 61494327.

72349416 is a `hidden beast` number, since 7 + 234 + 9 + 416 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (72349411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1186026 + ... + 1186086.

It is an arithmetic number, because the mean of its divisors is an integer number (1189625).

Almost surely, 2^72349416 is an apocalyptic number.

72349416 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72349416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114204000).

72349416 is an abundant number, since it is smaller than the sum of its proper divisors (156058584).

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

72349416 is a wasteful number, since it uses less digits than its factorization.

72349416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 72349416 is about 8505.8459896709. The cubic root of 72349416 is about 416.6886553374.

The spelling of 72349416 in words is "seventy-two million, three hundred forty-nine thousand, four hundred sixteen".