72274020 has 288 divisors, whose sum is σ = 265982976. Its totient is φ = 14515200.

The previous prime is 72274001. The next prime is 72274063. The reversal of 72274020 is 2047227.

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 95 ways as a sum of consecutive naturals, for example, 1184790 + ... + 1184850.

It is an arithmetic number, because the mean of its divisors is an integer number (923552).

Almost surely, 2^72274020 is an apocalyptic number.

72274020 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 72274020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132991488).

72274020 is an abundant number, since it is smaller than the sum of its proper divisors (193708956).

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

72274020 is a wasteful number, since it uses less digits than its factorization.

72274020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 72274020 is about 8501.4128237605. The cubic root of 72274020 is about 416.5438599858.

The spelling of 72274020 in words is "seventy-two million, two hundred seventy-four thousand, twenty".