72006396 has 48 divisors (see below), whose sum is σ = 209475840. Its totient is φ = 18702720.

The previous prime is 72006349. The next prime is 72006419. The reversal of 72006396 is 69360027.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38041 + ... + 39888.

It is an arithmetic number, because the mean of its divisors is an integer number (4364080).

Almost surely, 2^72006396 is an apocalyptic number.

It is an amenable number.

72006396 is an abundant number, since it is smaller than the sum of its proper divisors (137469444).

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

72006396 is a wasteful number, since it uses less digits than its factorization.

72006396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77954 (or 77952 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 72006396 is about 8485.6582537833. The cubic root of 72006396 is about 416.0290829643.

The spelling of 72006396 in words is "seventy-two million, six thousand, three hundred ninety-six".