72361567 has 4 divisors (see below), whose sum is σ = 73380816. Its totient is φ = 71342320.

The previous prime is 72361559. The next prime is 72361591. The reversal of 72361567 is 76516327.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76516327 = 2543 ⋅30089.

It is a cyclic number.

It is not a de Polignac number, because 72361567 - 2³ = 72361559 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72362567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 509518 + ... + 509659.

It is an arithmetic number, because the mean of its divisors is an integer number (18345204).

Almost surely, 2^72361567 is an apocalyptic number.

72361567 is a deficient number, since it is larger than the sum of its proper divisors (1019249).

72361567 is a wasteful number, since it uses less digits than its factorization.

72361567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019248.

The product of its digits is 52920, while the sum is 37.

The square root of 72361567 is about 8506.5602331377. The cubic root of 72361567 is about 416.7119814894.

The spelling of 72361567 in words is "seventy-two million, three hundred sixty-one thousand, five hundred sixty-seven".