72703540 has 96 divisors (see below), whose sum is σ = 192487680. Its totient is φ = 22450176.

The previous prime is 72703531. The next prime is 72703597. The reversal of 72703540 is 4530727.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 72703499 and 72703508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77796 + ... + 78724.

It is an arithmetic number, because the mean of its divisors is an integer number (2005080).

Almost surely, 2^72703540 is an apocalyptic number.

72703540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72703540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96243840).

72703540 is an abundant number, since it is smaller than the sum of its proper divisors (119784140).

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

72703540 is a wasteful number, since it uses less digits than its factorization.

72703540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 72703540 is about 8526.6370862140. The cubic root of 72703540 is about 417.3673954671.

The spelling of 72703540 in words is "seventy-two million, seven hundred three thousand, five hundred forty".