72038623725 has 120 divisors (see below), whose sum is σ = 142209112320. Its totient is φ = 35967127680.

The previous prime is 72038623711. The next prime is 72038623739. The reversal of 72038623725 is 52732683027.

It is an interprime number because it is at equal distance from previous prime (72038623711) and next prime (72038623739).

It is not a de Polignac number, because 72038623725 - 2⁶ = 72038623661 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2172571 + ... + 2205479.

It is an arithmetic number, because the mean of its divisors is an integer number (1185075936).

Almost surely, 2^72038623725 is an apocalyptic number.

72038623725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72038623725 is a deficient number, since it is larger than the sum of its proper divisors (70170488595).

72038623725 is a wasteful number, since it uses less digits than its factorization.

72038623725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33001 (or 32987 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 72038623725 in words is "seventy-two billion, thirty-eight million, six hundred twenty-three thousand, seven hundred twenty-five".