72437760 has 208 divisors, whose sum is σ = 259490880. Its totient is φ = 19169280.

The previous prime is 72437713. The next prime is 72437779. The reversal of 72437760 is 6773427.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 552895 + ... + 553025.

Almost surely, 2^72437760 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 72437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129745440).

72437760 is an abundant number, since it is smaller than the sum of its proper divisors (187053120).

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

72437760 is a wasteful number, since it uses less digits than its factorization.

72437760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 72437760 is about 8511.0375395718. The cubic root of 72437760 is about 416.8581889304.

The spelling of 72437760 in words is "seventy-two million, four hundred thirty-seven thousand, seven hundred sixty".