72698340 has 192 divisors, whose sum is σ = 246677760. Its totient is φ = 15759360.

The previous prime is 72698323. The next prime is 72698347. The reversal of 72698340 is 4389627.

72698340 = T₁₄₆₃ + T₁₄₆₄ + ... + T₁₅₂₇.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (72698347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317346 + ... + 317574.

It is an arithmetic number, because the mean of its divisors is an integer number (1284780).

Almost surely, 2^72698340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72698340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123338880).

72698340 is an abundant number, since it is smaller than the sum of its proper divisors (173979420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72698340 is a wasteful number, since it uses less digits than its factorization.

72698340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 72698340 is about 8526.3321539804. The cubic root of 72698340 is about 417.3574447265.

The spelling of 72698340 in words is "seventy-two million, six hundred ninety-eight thousand, three hundred forty".