72745530 has 128 divisors (see below), whose sum is σ = 212115456. Its totient is φ = 15724800.

The previous prime is 72745459. The next prime is 72745549. The reversal of 72745530 is 3554727.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72745491 and 72745500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132717 + ... + 133263.

It is an arithmetic number, because the mean of its divisors is an integer number (1657152).

Almost surely, 2^72745530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72745530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106057728).

72745530 is an abundant number, since it is smaller than the sum of its proper divisors (139369926).

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

72745530 is a wasteful number, since it uses less digits than its factorization.

72745530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612.

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 72745530 is about 8529.0990145501. The cubic root of 72745530 is about 417.4477303179.

The spelling of 72745530 in words is "seventy-two million, seven hundred forty-five thousand, five hundred thirty".