72437538 has 48 divisors (see below), whose sum is σ = 156033216. Its totient is φ = 22407840.

The previous prime is 72437513. The next prime is 72437543. The reversal of 72437538 is 83573427.

It is a junction number, because it is equal to n+sod(n) for n = 72437496 and 72437505.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 114483 + ... + 115113.

It is an arithmetic number, because the mean of its divisors is an integer number (3250692).

Almost surely, 2^72437538 is an apocalyptic number.

72437538 is an abundant number, since it is smaller than the sum of its proper divisors (83595678).

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

72437538 is a wasteful number, since it uses less digits than its factorization.

72437538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 708 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 72437538 is about 8511.0244976736. The cubic root of 72437538 is about 416.8577630816.

The spelling of 72437538 in words is "seventy-two million, four hundred thirty-seven thousand, five hundred thirty-eight".