72917541 has 12 divisors (see below), whose sum is σ = 105399840. Its totient is φ = 48577320.

The previous prime is 72917501. The next prime is 72917543. The reversal of 72917541 is 14571927.

It is a happy number.

It is not a de Polignac number, because 72917541 - 2⁷ = 72917413 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72917496 and 72917505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72917543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21256 + ... + 24446.

It is an arithmetic number, because the mean of its divisors is an integer number (8783320).

Almost surely, 2^72917541 is an apocalyptic number.

It is an amenable number.

72917541 is a deficient number, since it is larger than the sum of its proper divisors (32482299).

72917541 is a wasteful number, since it uses less digits than its factorization.

72917541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 5733 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 72917541 is about 8539.1768338640. The cubic root of 72917541 is about 417.7764977331.

The spelling of 72917541 in words is "seventy-two million, nine hundred seventeen thousand, five hundred forty-one".