72950220 has 180 divisors, whose sum is σ = 266500080. Its totient is φ = 16656192.

The previous prime is 72950191. The next prime is 72950239. The reversal of 72950220 is 2205927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78921 + ... + 79839.

It is an arithmetic number, because the mean of its divisors is an integer number (1480556).

Almost surely, 2^72950220 is an apocalyptic number.

72950220 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 72950220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133250040).

72950220 is an abundant number, since it is smaller than the sum of its proper divisors (193549860).

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

72950220 is a wasteful number, since it uses less digits than its factorization.

72950220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72950220 is about 8541.0900943615. The cubic root of 72950220 is about 417.8388991753.

The spelling of 72950220 in words is "seventy-two million, nine hundred fifty thousand, two hundred twenty".