72905898 has 32 divisors (see below), whose sum is σ = 160687296. Its totient is φ = 21909888.

The previous prime is 72905897. The next prime is 72905909. The reversal of 72905898 is 89850927.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (72905891) 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, 7515 + ... + 14222.

It is an arithmetic number, because the mean of its divisors is an integer number (5021478).

Almost surely, 2^72905898 is an apocalyptic number.

72905898 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

72905898 is an abundant number, since it is smaller than the sum of its proper divisors (87781398).

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

72905898 is a wasteful number, since it uses less digits than its factorization.

72905898 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21798.

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 72905898 is about 8538.4950664622. The cubic root of 72905898 is about 417.7542606024.

The spelling of 72905898 in words is "seventy-two million, nine hundred five thousand, eight hundred ninety-eight".