72748801 has 16 divisors (see below), whose sum is σ = 76906368. Its totient is φ = 68745600.

The previous prime is 72748789. The next prime is 72748813. The reversal of 72748801 is 10884727.

It is an interprime number because it is at equal distance from previous prime (72748789) and next prime (72748813).

It is a cyclic number.

It is not a de Polignac number, because 72748801 - 2⁵ = 72748769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72748861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194851 + ... + 195223.

It is an arithmetic number, because the mean of its divisors is an integer number (4806648).

Almost surely, 2^72748801 is an apocalyptic number.

72748801 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

72748801 is a deficient number, since it is larger than the sum of its proper divisors (4157567).

72748801 is a wasteful number, since it uses less digits than its factorization.

72748801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552.

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 72748801 is about 8529.2907677016. The cubic root of 72748801 is about 417.4539870646.

The spelling of 72748801 in words is "seventy-two million, seven hundred forty-eight thousand, eight hundred one".