72221058 has 192 divisors, whose sum is σ = 211341312. Its totient is φ = 17962560.

The previous prime is 72221053. The next prime is 72221063. The reversal of 72221058 is 85012227.

It is an interprime number because it is at equal distance from previous prime (72221053) and next prime (72221063).

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

It is not an unprimeable number, because it can be changed into a prime (72221053) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1017163 + ... + 1017233.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 2^72221058 is an apocalyptic number.

72221058 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72221058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

72221058 is an abundant number, since it is smaller than the sum of its proper divisors (139120254).

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

72221058 is a wasteful number, since it uses less digits than its factorization.

72221058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72221058 is about 8498.2973588831. The cubic root of 72221058 is about 416.4420881143.

The spelling of 72221058 in words is "seventy-two million, two hundred twenty-one thousand, fifty-eight".