72725730 has 128 divisors (see below), whose sum is σ = 229201920. Its totient is φ = 14307840.

The previous prime is 72725717. The next prime is 72725743. The reversal of 72725730 is 3752727.

It is an interprime number because it is at equal distance from previous prime (72725717) and next prime (72725743).

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 = 72725691 and 72725700.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 43062 + ... + 44718.

It is an arithmetic number, because the mean of its divisors is an integer number (1790640).

Almost surely, 2^72725730 is an apocalyptic number.

72725730 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 72725730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114600960).

72725730 is an abundant number, since it is smaller than the sum of its proper divisors (156476190).

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

72725730 is a wasteful number, since it uses less digits than its factorization.

72725730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704.

The product of its (nonzero) digits is 20580, while the sum is 33.

The square root of 72725730 is about 8527.9382033408. The cubic root of 72725730 is about 417.4098530074.

The spelling of 72725730 in words is "seventy-two million, seven hundred twenty-five thousand, seven hundred thirty".