72322740 has 288 divisors, whose sum is σ = 276514560. Its totient is φ = 15365376.

The previous prime is 72322727. The next prime is 72322751. The reversal of 72322740 is 4722327.

It is a super-2 number, since 2×72322740² = 10461157442215200, which contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1364554 + ... + 1364606.

It is an arithmetic number, because the mean of its divisors is an integer number (960120).

Almost surely, 2^72322740 is an apocalyptic number.

72322740 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 72322740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

72322740 is an abundant number, since it is smaller than the sum of its proper divisors (204191820).

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

72322740 is a wasteful number, since it uses less digits than its factorization.

72322740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 72322740 is about 8504.2777471106. The cubic root of 72322740 is about 416.6374365273.

The spelling of 72322740 in words is "seventy-two million, three hundred twenty-two thousand, seven hundred forty".