72503620 has 96 divisors (see below), whose sum is σ = 185713920. Its totient is φ = 23224320.

The previous prime is 72503617. The next prime is 72503647. The reversal of 72503620 is 2630527.

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, 257880 + ... + 258160.

It is an arithmetic number, because the mean of its divisors is an integer number (1934520).

Almost surely, 2^72503620 is an apocalyptic number.

72503620 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 72503620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92856960).

72503620 is an abundant number, since it is smaller than the sum of its proper divisors (113210300).

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

72503620 is a wasteful number, since it uses less digits than its factorization.

72503620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 72503620 is about 8514.9057540292. The cubic root of 72503620 is about 416.9844856947.

The spelling of 72503620 in words is "seventy-two million, five hundred three thousand, six hundred twenty".