72458410761 has 45 divisors (see below), whose sum is σ = 119018694333. Its totient is φ = 43898037480.

The previous prime is 72458410727. The next prime is 72458410793. The reversal of 72458410761 is 16701485427.

The square root of 72458410761 is 269181.

It is a perfect power (a square), and thus also a powerful number.

72458410761 is a `hidden beast` number, since 7 + 2 + 4 + 584 + 1 + 0 + 7 + 61 = 666.

It is not a de Polignac number, because 72458410761 - 2¹⁷ = 72458279689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72458414761) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26647560 + ... + 26650278.

Almost surely, 2^72458410761 is an apocalyptic number.

72458410761 is the 269181-st square number.

72458410761 is the 134591-st centered octagonal number.

It is an amenable number.

72458410761 is a deficient number, since it is larger than the sum of its proper divisors (46560283572).

72458410761 is an frugal number, since it uses more digits than its factorization.

72458410761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

It can be divided in two parts, 724 and 58410761, that added together give a palindrome (58411485).

The spelling of 72458410761 in words is "seventy-two billion, four hundred fifty-eight million, four hundred ten thousand, seven hundred sixty-one".