72437376 has 96 divisors (see below), whose sum is σ = 211629600. Its totient is φ = 21936640.

The previous prime is 72437347. The next prime is 72437377. The reversal of 72437376 is 67373427.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72437377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45685 + ... + 47243.

It is an arithmetic number, because the mean of its divisors is an integer number (2204475).

Almost surely, 2^72437376 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 72437376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105814800).

72437376 is an abundant number, since it is smaller than the sum of its proper divisors (139192224).

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

72437376 is a wasteful number, since it uses less digits than its factorization.

72437376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1575 counting only the distinct ones).

The product of its digits is 148176, while the sum is 39.

The square root of 72437376 is about 8511.0149806001. The cubic root of 72437376 is about 416.8574523264.

The spelling of 72437376 in words is "seventy-two million, four hundred thirty-seven thousand, three hundred seventy-six".