72742461 has 32 divisors (see below), whose sum is σ = 110063616. Its totient is φ = 42336000.

The previous prime is 72742451. The next prime is 72742463. The reversal of 72742461 is 16424727.

It is not a de Polignac number, because 72742461 - 2¹⁰ = 72741437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72742463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215685 + ... + 216021.

It is an arithmetic number, because the mean of its divisors is an integer number (3439488).

Almost surely, 2^72742461 is an apocalyptic number.

It is an amenable number.

72742461 is a deficient number, since it is larger than the sum of its proper divisors (37321155).

72742461 is a wasteful number, since it uses less digits than its factorization.

72742461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593.

The product of its digits is 18816, while the sum is 33.

The square root of 72742461 is about 8528.9190991590. The cubic root of 72742461 is about 417.4418597849.

The spelling of 72742461 in words is "seventy-two million, seven hundred forty-two thousand, four hundred sixty-one".