72736540 has 96 divisors (see below), whose sum is σ = 171085824. Its totient is φ = 25850880.

The previous prime is 72736529. The next prime is 72736597. The reversal of 72736540 is 4563727.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 72736496 and 72736505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706129 + ... + 706231.

It is an arithmetic number, because the mean of its divisors is an integer number (1782144).

Almost surely, 2^72736540 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 72736540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85542912).

72736540 is an abundant number, since it is smaller than the sum of its proper divisors (98349284).

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

72736540 is a wasteful number, since it uses less digits than its factorization.

72736540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 72736540 is about 8528.5719789423. The cubic root of 72736540 is about 417.4305333405.

The spelling of 72736540 in words is "seventy-two million, seven hundred thirty-six thousand, five hundred forty".