72949020 has 48 divisors (see below), whose sum is σ = 205537920. Its totient is φ = 19331136.

The previous prime is 72949003. The next prime is 72949039. The reversal of 72949020 is 2094927.

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, 6051 + ... + 13509.

It is an arithmetic number, because the mean of its divisors is an integer number (4282040).

Almost surely, 2^72949020 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 72949020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102768960).

72949020 is an abundant number, since it is smaller than the sum of its proper divisors (132588900).

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

72949020 is a wasteful number, since it uses less digits than its factorization.

72949020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7634 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 72949020 is about 8541.0198454283. The cubic root of 72949020 is about 417.8366080722.

The spelling of 72949020 in words is "seventy-two million, nine hundred forty-nine thousand, twenty".