72049536 has 192 divisors, whose sum is σ = 237247920. Its totient is φ = 20791296.

The previous prime is 72049507. The next prime is 72049541. The reversal of 72049536 is 63594027.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×72049536² = 10382271275630592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72049536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254451 + ... + 254733.

Almost surely, 2^72049536 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 72049536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118623960).

72049536 is an abundant number, since it is smaller than the sum of its proper divisors (165198384).

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

72049536 is a wasteful number, since it uses less digits than its factorization.

72049536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72049536 is about 8488.1998091468. The cubic root of 72049536 is about 416.1121492502.

The spelling of 72049536 in words is "seventy-two million, forty-nine thousand, five hundred thirty-six".