72016348 has 24 divisors (see below), whose sum is σ = 130515840. Its totient is φ = 34733760.

The previous prime is 72016337. The next prime is 72016349. The reversal of 72016348 is 84361027.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72016349) 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 7 ways as a sum of consecutive naturals, for example, 47490 + ... + 48982.

It is an arithmetic number, because the mean of its divisors is an integer number (5438160).

Almost surely, 2^72016348 is an apocalyptic number.

It is an amenable number.

72016348 is a deficient number, since it is larger than the sum of its proper divisors (58499492).

72016348 is a wasteful number, since it uses less digits than its factorization.

72016348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 72016348 is about 8486.2446347015. The cubic root of 72016348 is about 416.0482485335.

The spelling of 72016348 in words is "seventy-two million, sixteen thousand, three hundred forty-eight".