72075540 has 96 divisors (see below), whose sum is σ = 209817216. Its totient is φ = 18472960.

The previous prime is 72075539. The next prime is 72075541. The reversal of 72075540 is 4557027.

It is an interprime number because it is at equal distance from previous prime (72075539) and next prime (72075541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72075498 and 72075507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72075541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 204004 + ... + 204356.

It is an arithmetic number, because the mean of its divisors is an integer number (2185596).

Almost surely, 2^72075540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72075540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104908608).

72075540 is an abundant number, since it is smaller than the sum of its proper divisors (137741676).

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

72075540 is a wasteful number, since it uses less digits than its factorization.

72075540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 72075540 is about 8489.7314445158. The cubic root of 72075540 is about 416.1622040662.

The spelling of 72075540 in words is "seventy-two million, seventy-five thousand, five hundred forty".