72258690 has 64 divisors (see below), whose sum is σ = 199213056. Its totient is φ = 16431552.

The previous prime is 72258689. The next prime is 72258701. The reversal of 72258690 is 9685227.

It is a happy number.

It is a super-2 number, since 2×72258690² = 10442636561032200, which contains 22 as substring.

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, 46059 + ... + 47601.

It is an arithmetic number, because the mean of its divisors is an integer number (3112704).

Almost surely, 2^72258690 is an apocalyptic number.

72258690 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72258690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99606528).

72258690 is an abundant number, since it is smaller than the sum of its proper divisors (126954366).

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

72258690 is a wasteful number, since it uses less digits than its factorization.

72258690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 72258690 is about 8500.5111611008. The cubic root of 72258690 is about 416.5144069453.

The spelling of 72258690 in words is "seventy-two million, two hundred fifty-eight thousand, six hundred ninety".