72097476 has 144 divisors (see below), whose sum is σ = 207385920. Its totient is φ = 19261440.

The previous prime is 72097453. The next prime is 72097477. The reversal of 72097476 is 67479027.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72097477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810040 + ... + 810128.

It is an arithmetic number, because the mean of its divisors is an integer number (1440180).

Almost surely, 2^72097476 is an apocalyptic number.

72097476 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

72097476 is the 4539-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72097476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103692960).

72097476 is an abundant number, since it is smaller than the sum of its proper divisors (135288444).

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

72097476 is a wasteful number, since it uses less digits than its factorization.

72097476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 72097476 is about 8491.0232598904. The cubic root of 72097476 is about 416.2044190726.

The spelling of 72097476 in words is "seventy-two million, ninety-seven thousand, four hundred seventy-six".