72525740 has 96 divisors (see below), whose sum is σ = 190439424. Its totient is φ = 22625280.

The previous prime is 72525731. The next prime is 72525743. The reversal of 72525740 is 4752527.

It is a junction number, because it is equal to n+sod(n) for n = 72525697 and 72525706.

It is not an unprimeable number, because it can be changed into a prime (72525743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73289 + ... + 74271.

It is an arithmetic number, because the mean of its divisors is an integer number (1983744).

Almost surely, 2^72525740 is an apocalyptic number.

72525740 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 72525740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95219712).

72525740 is an abundant number, since it is smaller than the sum of its proper divisors (117913684).

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

72525740 is a wasteful number, since it uses less digits than its factorization.

72525740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 72525740 is about 8516.2045536730. The cubic root of 72525740 is about 417.0268870671.

The spelling of 72525740 in words is "seventy-two million, five hundred twenty-five thousand, seven hundred forty".