72013951 has 16 divisors (see below), whose sum is σ = 76170240. Its totient is φ = 68009760.

The previous prime is 72013939. The next prime is 72013957. The reversal of 72013951 is 15931027.

It is a cyclic number.

It is not a de Polignac number, because 72013951 - 2⁵ = 72013919 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 (72013957) 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, 207360 + ... + 207706.

It is an arithmetic number, because the mean of its divisors is an integer number (4760640).

Almost surely, 2^72013951 is an apocalyptic number.

72013951 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

72013951 is a deficient number, since it is larger than the sum of its proper divisors (4156289).

72013951 is a wasteful number, since it uses less digits than its factorization.

72013951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 72013951 is about 8486.1034049792. The cubic root of 72013951 is about 416.0436325505.

Adding to 72013951 its reverse (15931027), we get a palindrome (87944978).

The spelling of 72013951 in words is "seventy-two million, thirteen thousand, nine hundred fifty-one".